114616100 has 36 divisors (see below), whose sum is σ = 249231444. Its totient is φ = 45751680.

The previous prime is 114616093. The next prime is 114616129. The reversal of 114616100 is 1616411.

It can be written as a sum of positive squares in 6 ways, for example, as 2637376 + 111978724 = 1624^2 + 10582^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 66854 + ... + 68546.

Almost surely, 2^114616100 is an apocalyptic number.

114616100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114616100 is an abundant number, since it is smaller than the sum of its proper divisors (134615344).

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

114616100 is a wasteful number, since it uses less digits than its factorization.

114616100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2384 (or 2377 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

The square root of 114616100 is about 10705.8909017419. The cubic root of 114616100 is about 485.7526839803.

114616100 divided by its sum of digits (20) gives a triangular number (5730805 = T₃₃₈₅).

The spelling of 114616100 in words is "one hundred fourteen million, six hundred sixteen thousand, one hundred".