10105875 has 48 divisors (see below), whose sum is σ = 19647264. Its totient is φ = 4968000.

The previous prime is 10105859. The next prime is 10105883. The reversal of 10105875 is 57850101.

It is not a de Polignac number, because 10105875 - 2⁴ = 10105859 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14280 + ... + 14970.

It is an arithmetic number, because the mean of its divisors is an integer number (409318).

Almost surely, 2^10105875 is an apocalyptic number.

10105875 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10105875 is a deficient number, since it is larger than the sum of its proper divisors (9541389).

10105875 is a wasteful number, since it uses less digits than its factorization.

10105875 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 725 (or 712 counting only the distinct ones).

The product of its (nonzero) digits is 1400, while the sum is 27.

The square root of 10105875 is about 3178.9738910535. The cubic root of 10105875 is about 216.2011372332.

Adding to 10105875 its reverse (57850101), we get a palindrome (67955976).

The spelling of 10105875 in words is "ten million, one hundred five thousand, eight hundred seventy-five".