114956100 has 216 divisors, whose sum is σ = 419223168. Its totient is φ = 25804800.

The previous prime is 114956081. The next prime is 114956119. The reversal of 114956100 is 1659411.

114956100 is a `hidden beast` number, since 1 + 1 + 49 + 5 + 610 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (114956081) and next prime (114956119).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 447172 + ... + 447428.

It is an arithmetic number, because the mean of its divisors is an integer number (1940848).

Almost surely, 2^114956100 is an apocalyptic number.

114956100 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 114956100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209611584).

114956100 is an abundant number, since it is smaller than the sum of its proper divisors (304267068).

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

114956100 is a wasteful number, since it uses less digits than its factorization.

114956100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The square root of 114956100 is about 10721.7582513317. The cubic root of 114956100 is about 486.2325260317.

The spelling of 114956100 in words is "one hundred fourteen million, nine hundred fifty-six thousand, one hundred".