10111920 has 160 divisors (see below), whose sum is σ = 38664192. Its totient is φ = 2128896.

The previous prime is 10111903. The next prime is 10111931. The reversal of 10111920 is 2911101.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10111920.

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 31 ways as a sum of consecutive naturals, for example, 21609 + ... + 22071.

Almost surely, 2^10111920 is an apocalyptic number.

10111920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10111920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19332096).

10111920 is an abundant number, since it is smaller than the sum of its proper divisors (28552272).

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

10111920 is a wasteful number, since it uses less digits than its factorization.

10111920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 499 (or 493 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 15.

The square root of 10111920 is about 3179.9245274063. The cubic root of 10111920 is about 216.2442367627.

It can be divided in two parts, 101 and 11920, that added together give a palindrome (12021).

The spelling of 10111920 in words is "ten million, one hundred eleven thousand, nine hundred twenty".