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106055304240 = 24353111420891
BaseRepresentation
bin110001011000101100…
…0111000010000110000
3101010202011202200002010
41202301120320100300
53214200124213430
6120415433122520
710443102132504
oct1426130702060
9333664680063
10106055304240
1140a834aa876
1218679859440
13a00219ccc2
1451c1348304
152b5ab48cb0
hex18b1638430

106055304240 has 80 divisors (see below), whose sum is σ = 329828818176. Its totient is φ = 28190457600.

The previous prime is 106055304239. The next prime is 106055304283. The reversal of 106055304240 is 42403550601.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×1060553042402 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 106055304198 and 106055304207.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 635806 + ... + 785085.

Almost surely, 2106055304240 is an apocalyptic number.

106055304240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106055304240 is an abundant number, since it is smaller than the sum of its proper divisors (223773513936).

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

106055304240 is a wasteful number, since it uses less digits than its factorization.

106055304240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1421218 (or 1421212 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

Adding to 106055304240 its reverse (42403550601), we get a palindrome (148458854841).

The spelling of 106055304240 in words is "one hundred six billion, fifty-five million, three hundred four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 311 622 933 1244 1555 1866 2488 3110 3732 4665 4976 6220 7464 9330 12440 14928 18660 24880 37320 74640 1420891 2841782 4262673 5683564 7104455 8525346 11367128 14208910 17050692 21313365 22734256 28417820 34101384 42626730 56835640 68202768 85253460 113671280 170506920 341013840 441897101 883794202 1325691303 1767588404 2209485505 2651382606 3535176808 4418971010 5302765212 6628456515 7070353616 8837942020 10605530424 13256913030 17675884040 21211060848 26513826060 35351768080 53027652120 106055304240