114056100 has 90 divisors (see below), whose sum is σ = 369751074. Its totient is φ = 30412800.

The previous prime is 114056087. The next prime is 114056119. The reversal of 114056100 is 1650411.

114056100 is a `hidden beast` number, since 11 + 40 + 5 + 610 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 19927296 + 94128804 = 4464^2 + 9702^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1060 + ... + 15140.

Almost surely, 2^114056100 is an apocalyptic number.

114056100 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 114056100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184875537).

114056100 is an abundant number, since it is smaller than the sum of its proper divisors (255694974).

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

114056100 is a wasteful number, since it uses less digits than its factorization.

114056100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14107 (or 14091 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 114056100 is about 10679.7050521070. The cubic root of 114056100 is about 484.9602829984.

The spelling of 114056100 in words is "one hundred fourteen million, fifty-six thousand, one hundred".