10890825 has 48 divisors (see below), whose sum is σ = 20165376. Its totient is φ = 5140800.

The previous prime is 10890823. The next prime is 10890853. The reversal of 10890825 is 52809801.

It is a happy number.

It is not a de Polignac number, because 10890825 - 2¹ = 10890823 is a prime.

It is a super-2 number, since 2×10890825² = 237220138361250, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (10890821) 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 47 ways as a sum of consecutive naturals, for example, 35322 + ... + 35628.

It is an arithmetic number, because the mean of its divisors is an integer number (420112).

Almost surely, 2^10890825 is an apocalyptic number.

10890825 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10890825 is a deficient number, since it is larger than the sum of its proper divisors (9274551).

10890825 is a wasteful number, since it uses less digits than its factorization.

10890825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 33.

The square root of 10890825 is about 3300.1249976327. The cubic root of 10890825 is about 221.6597946375.

The spelling of 10890825 in words is "ten million, eight hundred ninety thousand, eight hundred twenty-five".