114115900 has 72 divisors (see below), whose sum is σ = 276076080. Its totient is φ = 40688640.

The previous prime is 114115877. The next prime is 114115913. The reversal of 114115900 is 9511411.

It is a super-3 number, since 3×114115900³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30534 + ... + 34066.

It is an arithmetic number, because the mean of its divisors is an integer number (3834390).

Almost surely, 2^114115900 is an apocalyptic number.

114115900 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 114115900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138038040).

114115900 is an abundant number, since it is smaller than the sum of its proper divisors (161960180).

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

114115900 is a wasteful number, since it uses less digits than its factorization.

114115900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3583 (or 3576 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 22.

The square root of 114115900 is about 10682.5043880169. The cubic root of 114115900 is about 485.0450236305.

The spelling of 114115900 in words is "one hundred fourteen million, one hundred fifteen thousand, nine hundred".