114979100 has 36 divisors (see below), whose sum is σ = 252327600. Its totient is φ = 45471360.

The previous prime is 114979063. The next prime is 114979133. The reversal of 114979100 is 1979411.

It is a happy number.

It is a congruent number.

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, 2441 + ... + 15359.

It is an arithmetic number, because the mean of its divisors is an integer number (7009100).

Almost surely, 2^114979100 is an apocalyptic number.

114979100 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 114979100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126163800).

114979100 is an abundant number, since it is smaller than the sum of its proper divisors (137348500).

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

114979100 is a wasteful number, since it uses less digits than its factorization.

114979100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13022 (or 13015 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 32.

The square root of 114979100 is about 10722.8307829603. The cubic root of 114979100 is about 486.2649517500.

The spelling of 114979100 in words is "one hundred fourteen million, nine hundred seventy-nine thousand, one hundred".