111955104 has 72 divisors (see below), whose sum is σ = 319891572. Its totient is φ = 37140480.

The previous prime is 111955093. The next prime is 111955117. The reversal of 111955104 is 401559111.

It can be written as a sum of positive squares in 2 ways, for example, as 107744400 + 4210704 = 10380^2 + 2052^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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, 68602 + ... + 70214.

Almost surely, 2^111955104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111955104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159945786).

111955104 is an abundant number, since it is smaller than the sum of its proper divisors (207936468).

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

111955104 is a wasteful number, since it uses less digits than its factorization.

111955104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1870 (or 1859 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 27.

The square root of 111955104 is about 10580.8838950250. The cubic root of 111955104 is about 481.9640360442.

The spelling of 111955104 in words is "one hundred eleven million, nine hundred fifty-five thousand, one hundred four".