105868664 has 32 divisors (see below), whose sum is σ = 217002240. Its totient is φ = 48021600.

The previous prime is 105868657. The next prime is 105868681. The reversal of 105868664 is 466868501.

It is a super-2 number, since 2×105868664² = 22416348034289792, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

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, 55649 + ... + 57519.

It is an arithmetic number, because the mean of its divisors is an integer number (6781320).

Almost surely, 2^105868664 is an apocalyptic number.

It is an amenable number.

105868664 is an abundant number, since it is smaller than the sum of its proper divisors (111133576).

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

105868664 is a wasteful number, since it uses less digits than its factorization.

105868664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2531 (or 2527 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 44.

The square root of 105868664 is about 10289.2499240712. The cubic root of 105868664 is about 473.0668080077.

The spelling of 105868664 in words is "one hundred five million, eight hundred sixty-eight thousand, six hundred sixty-four".