11101920 has 96 divisors (see below), whose sum is σ = 35471520. Its totient is φ = 2918400.

The previous prime is 11101919. The next prime is 11101921. The reversal of 11101920 is 2910111.

It is an interprime number because it is at equal distance from previous prime (11101919) and next prime (11101921).

It is a tau number, because it is divible by the number of its divisors (96).

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 11101920.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11101921) 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 15 ways as a sum of consecutive naturals, for example, 48366 + ... + 48594.

It is an arithmetic number, because the mean of its divisors is an integer number (369495).

Almost surely, 2^11101920 is an apocalyptic number.

11101920 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 11101920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17735760).

11101920 is an abundant number, since it is smaller than the sum of its proper divisors (24369600).

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

11101920 is a wasteful number, since it uses less digits than its factorization.

11101920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348 (or 340 counting only the distinct ones).

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

The square root of 11101920 is about 3331.9543814404. The cubic root of 11101920 is about 223.0827713946.

It can be divided in two parts, 11101 and 920, that added together give a palindrome (12021).

The spelling of 11101920 in words is "eleven million, one hundred one thousand, nine hundred twenty".