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107103309624 = 23321978291893
BaseRepresentation
bin110001110111111011…
…0101100111100111000
3101020110012202212012100
41203233312230330320
53223321421401444
6121111431343400
710511056053003
oct1435766547470
9336405685170
10107103309624
1141471031823
1218910821b60
13a13b34772c
1452805d053a
152bbcb5de69
hex18efdacf38

107103309624 has 48 divisors (see below), whose sum is σ = 305338386600. Its totient is φ = 33822097344.

The previous prime is 107103309619. The next prime is 107103309629. The reversal of 107103309624 is 426903301701.

107103309624 is a `hidden beast` number, since 10 + 7 + 10 + 3 + 3 + 0 + 9 + 624 = 666.

It is an interprime number because it is at equal distance from previous prime (107103309619) and next prime (107103309629).

It is a super-2 number, since 2×1071033096242 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107103309629) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 39144579 + ... + 39147314.

Almost surely, 2107103309624 is an apocalyptic number.

It is an amenable number.

107103309624 is an abundant number, since it is smaller than the sum of its proper divisors (198235076976).

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

107103309624 is a wasteful number, since it uses less digits than its factorization.

107103309624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78291924 (or 78291917 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The spelling of 107103309624 in words is "one hundred seven billion, one hundred three million, three hundred nine thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 57 72 76 114 152 171 228 342 456 684 1368 78291893 156583786 234875679 313167572 469751358 626335144 704627037 939502716 1409254074 1487545967 1879005432 2818508148 2975091934 4462637901 5637016296 5950183868 8925275802 11900367736 13387913703 17850551604 26775827406 35701103208 53551654812 107103309624