105104000520 has 128 divisors (see below), whose sum is σ = 362427696000. Its totient is φ = 27061251840.

The previous prime is 105104000489. The next prime is 105104000537. The reversal of 105104000520 is 25000401501.

105104000520 is a `hidden beast` number, since 105 + 1 + 0 + 40 + 0 + 0 + 520 = 666.

It is a super-2 number, since 2×105104000520² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 105104000493 and 105104000502.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1646586 + ... + 1709225.

It is an arithmetic number, because the mean of its divisors is an integer number (2831466375).

Almost surely, 2^105104000520 is an apocalyptic number.

105104000520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105104000520 is an abundant number, since it is smaller than the sum of its proper divisors (257323695480).

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

105104000520 is a wasteful number, since it uses less digits than its factorization.

105104000520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3355860 (or 3355850 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The spelling of 105104000520 in words is "one hundred five billion, one hundred four million, five hundred twenty", and thus it is an aban number.