105859964 has 24 divisors (see below), whose sum is σ = 212997120. Its totient is φ = 45094896.

The previous prime is 105859951. The next prime is 105859967. The reversal of 105859964 is 469958501.

It is a happy number.

It is a super-2 number, since 2×105859964² = 22412663956162592, which contains 22 as substring.

It is a Smith number, since the sum of its digits (47) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105859967) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6644 + ... + 15995.

It is an arithmetic number, because the mean of its divisors is an integer number (8874880).

Almost surely, 2^105859964 is an apocalyptic number.

105859964 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

105859964 is an abundant number, since it is smaller than the sum of its proper divisors (107137156).

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

105859964 is a wasteful number, since it uses less digits than its factorization.

105859964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22817 (or 22815 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 47.

The square root of 105859964 is about 10288.8271440432. The cubic root of 105859964 is about 473.0538492032.

The spelling of 105859964 in words is "one hundred five million, eight hundred fifty-nine thousand, nine hundred sixty-four".