105875652 has 24 divisors (see below), whose sum is σ = 247284576. Its totient is φ = 35257408.

The previous prime is 105875639. The next prime is 105875669. The reversal of 105875652 is 256578501.

It is a super-3 number, since 3×105875652³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 105875652.

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, 10528 + ... + 17960.

It is an arithmetic number, because the mean of its divisors is an integer number (10303524).

Almost surely, 2^105875652 is an apocalyptic number.

105875652 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105875652 is an abundant number, since it is smaller than the sum of its proper divisors (141408924).

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

105875652 is a wasteful number, since it uses less digits than its factorization.

105875652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8627 (or 8625 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 39.

The square root of 105875652 is about 10289.5894961850. The cubic root of 105875652 is about 473.0772162437.

The spelling of 105875652 in words is "one hundred five million, eight hundred seventy-five thousand, six hundred fifty-two".