105875664 has 40 divisors (see below), whose sum is σ = 282339072. Its totient is φ = 34152960.

The previous prime is 105875639. The next prime is 105875669. The reversal of 105875664 is 466578501.

It is a super-2 number, since 2×105875664² = 22419312454881792, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105875669) 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, 34089 + ... + 37064.

Almost surely, 2^105875664 is an apocalyptic number.

It is an amenable number.

105875664 is an abundant number, since it is smaller than the sum of its proper divisors (176463408).

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

105875664 is a wasteful number, since it uses less digits than its factorization.

105875664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71195 (or 71189 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 42.

The square root of 105875664 is about 10289.5900792986. The cubic root of 105875664 is about 473.0772341166.

The spelling of 105875664 in words is "one hundred five million, eight hundred seventy-five thousand, six hundred sixty-four".