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107014565088 = 2532439199403
BaseRepresentation
bin110001110101010010…
…0001010110011100000
3101020020000210011120200
41203222210022303200
53223131212040323
6121054541305200
710505630536404
oct1435244126340
9336200704520
10107014565088
1141425a28732
12188a6b65200
13a125b45082
1452728cd104
152bb4e7e443
hex18ea90ace0

107014565088 has 144 divisors (see below), whose sum is σ = 311771940480. Its totient is φ = 34800337152.

The previous prime is 107014565039. The next prime is 107014565101. The reversal of 107014565088 is 880565410701.

107014565088 is a `hidden beast` number, since 1 + 0 + 7 + 0 + 1 + 4 + 565 + 0 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×1070145650882 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11376195 + ... + 11385597.

It is an arithmetic number, because the mean of its divisors is an integer number (2165082920).

Almost surely, 2107014565088 is an apocalyptic number.

107014565088 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107014565088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155885970240).

107014565088 is an abundant number, since it is smaller than the sum of its proper divisors (204757375392).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

107014565088 is a wasteful number, since it uses less digits than its factorization.

107014565088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10381 (or 10370 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 45.

Adding to 107014565088 its reverse (880565410701), we get a palindrome (987579975789).

The spelling of 107014565088 in words is "one hundred seven billion, fourteen million, five hundred sixty-five thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 43 48 72 86 96 129 144 172 258 288 344 387 516 688 774 919 1032 1376 1548 1838 2064 2757 3096 3676 4128 5514 6192 7352 8271 9403 11028 12384 14704 16542 18806 22056 28209 29408 33084 37612 39517 44112 56418 66168 75224 79034 84627 88224 112836 118551 132336 150448 158068 169254 225672 237102 264672 300896 316136 338508 355653 404329 451344 474204 632272 677016 711306 808658 902688 948408 1212987 1264544 1354032 1422612 1617316 1896816 2425974 2708064 2845224 3234632 3638961 3793632 4851948 5690448 6469264 7277922 8641357 9703896 11380896 12938528 14555844 17282714 19407792 25924071 29111688 34565428 38815584 51848142 58223376 69130856 77772213 103696284 116446752 138261712 155544426 207392568 276523424 311088852 371578351 414785136 622177704 743156702 829570272 1114735053 1244355408 1486313404 2229470106 2488710816 2972626808 3344205159 4458940212 5945253616 6688410318 8917880424 11890507232 13376820636 17835760848 26753641272 35671521696 53507282544 107014565088