105812968 has 16 divisors (see below), whose sum is σ = 198715680. Its totient is φ = 52822128.

The previous prime is 105812939. The next prime is 105812969. The reversal of 105812968 is 869218501.

It is a super-2 number, since 2×105812968² = 22392768393938048, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105812968.

It is not an unprimeable number, because it can be changed into a prime (105812969) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5046 + ... + 15397.

It is an arithmetic number, because the mean of its divisors is an integer number (12419730).

Almost surely, 2^105812968 is an apocalyptic number.

It is an amenable number.

105812968 is a deficient number, since it is larger than the sum of its proper divisors (92902712).

105812968 is a wasteful number, since it uses less digits than its factorization.

105812968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21096 (or 21092 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 40.

The square root of 105812968 is about 10286.5430539127. The cubic root of 105812968 is about 472.9838355469.

The spelling of 105812968 in words is "one hundred five million, eight hundred twelve thousand, nine hundred sixty-eight".