114710916100 has 81 divisors (see below), whose sum is σ = 273698127381. Its totient is φ = 41699512800.

The previous prime is 114710916097. The next prime is 114710916119. The reversal of 114710916100 is 1619017411.

The square root of 114710916100 is 338690.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 41295929796 + 73414986304 = 203214^2 + 270952^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 37254361 + ... + 37257439.

Almost surely, 2^114710916100 is an apocalyptic number.

114710916100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

114710916100 is the 338690-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114710916100

114710916100 is an abundant number, since it is smaller than the sum of its proper divisors (158987211281).

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

114710916100 is an equidigital number, since it uses as much as digits as its factorization.

114710916100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6194 (or 3097 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 31.

The spelling of 114710916100 in words is "one hundred fourteen billion, seven hundred ten million, nine hundred sixteen thousand, one hundred".