111053952 has 48 divisors (see below), whose sum is σ = 319572630. Its totient is φ = 37017600.

The previous prime is 111053941. The next prime is 111054017. The reversal of 111053952 is 259350111.

It can be written as a sum of positive squares in only one way, i.e., 111007296 + 46656 = 10536^2 + 216^2 .

It is a tau number, because it is divible by the number of its divisors (48).

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 5 ways as a sum of consecutive naturals, for example, 47049 + ... + 49352.

Almost surely, 2^111053952 is an apocalyptic number.

111053952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

111053952 is an abundant number, since it is smaller than the sum of its proper divisors (208518678).

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

111053952 is an equidigital number, since it uses as much as digits as its factorization.

111053952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96421 (or 96406 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 27.

The square root of 111053952 is about 10538.2138904086. The cubic root of 111053952 is about 480.6674049255.

The spelling of 111053952 in words is "one hundred eleven million, fifty-three thousand, nine hundred fifty-two".