114916900 has 72 divisors (see below), whose sum is σ = 286884416. Its totient is φ = 39139200.

The previous prime is 114916897. The next prime is 114916909. The reversal of 114916900 is 9619411.

It is a super-2 number, since 2×114916900² = 26411787811220000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (114916909) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 126247 + ... + 127153.

Almost surely, 2^114916900 is an apocalyptic number.

114916900 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 114916900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143442208).

114916900 is an abundant number, since it is smaller than the sum of its proper divisors (171967516).

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

114916900 is a wasteful number, since it uses less digits than its factorization.

114916900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1109 (or 1102 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 31.

The square root of 114916900 is about 10719.9300370851. The cubic root of 114916900 is about 486.1772513603.

The spelling of 114916900 in words is "one hundred fourteen million, nine hundred sixteen thousand, nine hundred".