10890375 has 32 divisors (see below), whose sum is σ = 18353088. Its totient is φ = 5734400.

The previous prime is 10890371. The next prime is 10890389. The reversal of 10890375 is 57309801.

10890375 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10890375 - 2² = 10890371 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10890371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42247 + ... + 42503.

It is an arithmetic number, because the mean of its divisors is an integer number (573534).

Almost surely, 2^10890375 is an apocalyptic number.

10890375 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10890375 is a deficient number, since it is larger than the sum of its proper divisors (7462713).

10890375 is a wasteful number, since it uses less digits than its factorization.

10890375 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 33.

The square root of 10890375 is about 3300.0568176927. The cubic root of 10890375 is about 221.6567416615.

The spelling of 10890375 in words is "ten million, eight hundred ninety thousand, three hundred seventy-five".