105875376 has 40 divisors (see below), whose sum is σ = 274230960. Its totient is φ = 35198976.

The previous prime is 105875351. The next prime is 105875383. The reversal of 105875376 is 673578501.

It is a super-3 number, since 3×105875376³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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, 16936 + ... + 22328.

It is an arithmetic number, because the mean of its divisors is an integer number (6855774).

Almost surely, 2^105875376 is an apocalyptic number.

105875376 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

105875376 is an abundant number, since it is smaller than the sum of its proper divisors (168355584).

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

105875376 is a wasteful number, since it uses less digits than its factorization.

105875376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5813 (or 5807 counting only the distinct ones).

The product of its (nonzero) digits is 176400, while the sum is 42.

The square root of 105875376 is about 10289.5760845625. The cubic root of 105875376 is about 473.0768051658.

The spelling of 105875376 in words is "one hundred five million, eight hundred seventy-five thousand, three hundred seventy-six".