10110920 has 32 divisors (see below), whose sum is σ = 24089400. Its totient is φ = 3806208.

The previous prime is 10110871. The next prime is 10110931. The reversal of 10110920 is 2901101.

It can be written as a sum of positive squares in 4 ways, for example, as 8145316 + 1965604 = 2854^2 + 1402^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10110895 and 10110904.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 6755 + ... + 8114.

Almost surely, 2^10110920 is an apocalyptic number.

10110920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10110920 is an abundant number, since it is smaller than the sum of its proper divisors (13978480).

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

10110920 is a wasteful number, since it uses less digits than its factorization.

10110920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14897 (or 14893 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 14.

The square root of 10110920 is about 3179.7672870825. The cubic root of 10110920 is about 216.2371081671.

The spelling of 10110920 in words is "ten million, one hundred ten thousand, nine hundred twenty".