105012505656 has 24 divisors (see below), whose sum is σ = 284408869680. Its totient is φ = 35004168528.

The previous prime is 105012505649. The next prime is 105012505667. The reversal of 105012505656 is 656505210501.

105012505656 is a `hidden beast` number, since 1 + 0 + 501 + 2 + 50 + 56 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×105012505656² (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 an alternating number because its digits alternate between odd and even.

It is a self number, because there is not a number n which added to its sum of digits gives 105012505656.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 729253440 + ... + 729253583.

It is an arithmetic number, because the mean of its divisors is an integer number (11850369570).

Almost surely, 2^105012505656 is an apocalyptic number.

It is an amenable number.

105012505656 is an abundant number, since it is smaller than the sum of its proper divisors (179396364024).

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

105012505656 is a wasteful number, since it uses less digits than its factorization.

105012505656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1458507035 (or 1458507028 counting only the distinct ones).

The product of its (nonzero) digits is 45000, while the sum is 36.

The spelling of 105012505656 in words is "one hundred five billion, twelve million, five hundred five thousand, six hundred fifty-six".