105611968 has 112 divisors (see below), whose sum is σ = 270662400. Its totient is φ = 39674880.

The previous prime is 105611911. The next prime is 105611971. The reversal of 105611968 is 869116501.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×105611968² = 22307775569666048, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 142543 + ... + 143281.

Almost surely, 2^105611968 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 105611968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135331200).

105611968 is an abundant number, since it is smaller than the sum of its proper divisors (165050432).

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

105611968 is a wasteful number, since it uses less digits than its factorization.

105611968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 798 (or 788 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 37.

The square root of 105611968 is about 10276.7683636443. The cubic root of 105611968 is about 472.6841557949.

The spelling of 105611968 in words is "one hundred five million, six hundred eleven thousand, nine hundred sixty-eight".