105544930656 has 96 divisors (see below), whose sum is σ = 304097044608. Its totient is φ = 31787043840.

The previous prime is 105544930651. The next prime is 105544930679. The reversal of 105544930656 is 656039445501.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×105544930656² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105544930651) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 134461 + ... + 478716.

It is an arithmetic number, because the mean of its divisors is an integer number (3167677548).

Almost surely, 2^105544930656 is an apocalyptic number.

105544930656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

105544930656 is an abundant number, since it is smaller than the sum of its proper divisors (198552113952).

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

105544930656 is a wasteful number, since it uses less digits than its factorization.

105544930656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 613364 (or 613356 counting only the distinct ones).

The product of its (nonzero) digits is 1944000, while the sum is 48.

The spelling of 105544930656 in words is "one hundred five billion, five hundred forty-four million, nine hundred thirty thousand, six hundred fifty-six".