105844968 has 56 divisors (see below), whose sum is σ = 297569250. Its totient is φ = 35279712.

The previous prime is 105844951. The next prime is 105844969. The reversal of 105844968 is 869448501.

105844968 is a `hidden beast` number, since 1 + 0 + 584 + 4 + 9 + 68 = 666.

It can be written as a sum of positive squares in only one way, i.e., 97653924 + 8191044 = 9882^2 + 2862^2 .

It is a super-2 number, since 2×105844968² = 22406314501842048, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105844969) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 3243 + ... + 14906.

Almost surely, 2^105844968 is an apocalyptic number.

105844968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

105844968 is an abundant number, since it is smaller than the sum of its proper divisors (191724282).

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

105844968 is an equidigital number, since it uses as much as digits as its factorization.

105844968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18173 (or 18154 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 105844968 is about 10288.0983665593. The cubic root of 105844968 is about 473.0315107280.

The spelling of 105844968 in words is "one hundred five million, eight hundred forty-four thousand, nine hundred sixty-eight".