105603956256 has 48 divisors (see below), whose sum is σ = 277552402848. Its totient is φ = 35157888000.

The previous prime is 105603956207. The next prime is 105603956317. The reversal of 105603956256 is 652659306501.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×105603956256² (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 an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 600345 + ... + 756056.

It is an arithmetic number, because the mean of its divisors is an integer number (5782341726).

Almost surely, 2^105603956256 is an apocalyptic number.

105603956256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

105603956256 is an abundant number, since it is smaller than the sum of its proper divisors (171948446592).

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

105603956256 is a wasteful number, since it uses less digits than its factorization.

105603956256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1357225 (or 1357217 counting only the distinct ones).

The product of its (nonzero) digits is 1458000, while the sum is 48.

The spelling of 105603956256 in words is "one hundred five billion, six hundred three million, nine hundred fifty-six thousand, two hundred fifty-six".