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107534510240 = 25529226710223
BaseRepresentation
bin110010000100110001…
…1100110100010100000
3101021120021011010020112
41210021203212202200
53230212313311430
6121222313430452
710524543153443
oct1441143464240
9337507133215
10107534510240
1141672478173
1218a1110b428
13a1a9791621
1452c199765a
152be5937195
hex19098e68a0

107534510240 has 96 divisors (see below), whose sum is σ = 262952282880. Its totient is φ = 41508189184.

The previous prime is 107534510231. The next prime is 107534510249. The reversal of 107534510240 is 42015435701.

It is an interprime number because it is at equal distance from previous prime (107534510231) and next prime (107534510249).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 107534510197 and 107534510206.

It is not an unprimeable number, because it can be changed into a prime (107534510249) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10513769 + ... + 10523991.

It is an arithmetic number, because the mean of its divisors is an integer number (2739086280).

Almost surely, 2107534510240 is an apocalyptic number.

107534510240 is a gapful number since it is divisible by the number (10) 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 107534510240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131476141440).

107534510240 is an abundant number, since it is smaller than the sum of its proper divisors (155417772640).

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

107534510240 is a wasteful number, since it uses less digits than its factorization.

107534510240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12534 (or 12526 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 32.

Adding to 107534510240 its reverse (42015435701), we get a palindrome (149549945941).

The spelling of 107534510240 in words is "one hundred seven billion, five hundred thirty-four million, five hundred ten thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 80 116 145 160 232 290 464 580 928 1160 2267 2320 4534 4640 9068 10223 11335 18136 20446 22670 36272 40892 45340 51115 65743 72544 81784 90680 102230 131486 163568 181360 204460 262972 296467 327136 328715 362720 408920 525944 592934 657430 817840 1051888 1185868 1314860 1482335 1635680 2103776 2371736 2629720 2964670 4743472 5259440 5929340 9486944 10518880 11858680 23175541 23717360 46351082 47434720 92702164 115877705 185404328 231755410 370808656 463510820 672090689 741617312 927021640 1344181378 1854043280 2688362756 3360453445 3708086560 5376725512 6720906890 10753451024 13441813780 21506902048 26883627560 53767255120 107534510240