111921408 has 108 divisors (see below), whose sum is σ = 333319168. Its totient is φ = 36080640.

The previous prime is 111921391. The next prime is 111921437. The reversal of 111921408 is 804129111.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 70641 + ... + 72207.

Almost surely, 2^111921408 is an apocalyptic number.

111921408 is a gapful number since it is divisible by the number (18) 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 111921408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166659584).

111921408 is an abundant number, since it is smaller than the sum of its proper divisors (221397760).

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

111921408 is a wasteful number, since it uses less digits than its factorization.

111921408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1620 (or 1603 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 27.

The square root of 111921408 is about 10579.2914696590. The cubic root of 111921408 is about 481.9156777018.

The spelling of 111921408 in words is "one hundred eleven million, nine hundred twenty-one thousand, four hundred eight".