105956768 has 48 divisors (see below), whose sum is σ = 229158720. Its totient is φ = 48001536.

The previous prime is 105956737. The next prime is 105956771. The reversal of 105956768 is 867659501.

It is a super-2 number, since 2×105956768² = 22453673370011648, which contains 22 as substring.

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, 10196 + ... + 17772.

It is an arithmetic number, because the mean of its divisors is an integer number (4774140).

Almost surely, 2^105956768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105956768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114579360).

105956768 is an abundant number, since it is smaller than the sum of its proper divisors (123201952).

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

105956768 is a wasteful number, since it uses less digits than its factorization.

105956768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7629 (or 7621 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 47.

The square root of 105956768 is about 10293.5303953503. The cubic root of 105956768 is about 473.1980004998.

The spelling of 105956768 in words is "one hundred five million, nine hundred fifty-six thousand, seven hundred sixty-eight".