105956256 has 96 divisors (see below), whose sum is σ = 328890240. Its totient is φ = 29223936.

The previous prime is 105956251. The next prime is 105956273. The reversal of 105956256 is 652659501.

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

It is a super-2 number, since 2×105956256² = 22453456371075072, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105956251) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16770 + ... + 22206.

It is an arithmetic number, because the mean of its divisors is an integer number (3425940).

Almost surely, 2^105956256 is an apocalyptic number.

105956256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105956256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164445120).

105956256 is an abundant number, since it is smaller than the sum of its proper divisors (222933984).

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

105956256 is a wasteful number, since it uses less digits than its factorization.

105956256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5486 (or 5478 counting only the distinct ones).

The product of its (nonzero) digits is 81000, while the sum is 39.

The square root of 105956256 is about 10293.5055253300. The cubic root of 105956256 is about 473.1972383092.

The spelling of 105956256 in words is "one hundred five million, nine hundred fifty-six thousand, two hundred fifty-six".