114166900 has 36 divisors (see below), whose sum is σ = 262319148. Its totient is φ = 42979840.

The previous prime is 114166879. The next prime is 114166909. The reversal of 114166900 is 9661411.

It can be written as a sum of positive squares in 6 ways, for example, as 9759376 + 104407524 = 3124^2 + 10218^2 .

It is a super-2 number, since 2×114166900² = 26068162111220000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114166909) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 31879 + ... + 35278.

It is an arithmetic number, because the mean of its divisors is an integer number (7286643).

Almost surely, 2^114166900 is an apocalyptic number.

114166900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114166900 is an abundant number, since it is smaller than the sum of its proper divisors (148152248).

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

114166900 is a wasteful number, since it uses less digits than its factorization.

114166900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67188 (or 67181 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 28.

The square root of 114166900 is about 10684.8912020666. The cubic root of 114166900 is about 485.1172706822.

The spelling of 114166900 in words is "one hundred fourteen million, one hundred sixty-six thousand, nine hundred".