114450100 has 36 divisors (see below), whose sum is σ = 249007500. Its totient is φ = 45660160.

The previous prime is 114450079. The next prime is 114450121. The reversal of 114450100 is 1054411.

It is an interprime number because it is at equal distance from previous prime (114450079) and next prime (114450121).

It can be written as a sum of positive squares in 6 ways, for example, as 3189796 + 111260304 = 1786^2 + 10548^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 43626 + ... + 46174.

It is an arithmetic number, because the mean of its divisors is an integer number (6916875).

Almost surely, 2^114450100 is an apocalyptic number.

114450100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114450100 is an abundant number, since it is smaller than the sum of its proper divisors (134557400).

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

114450100 is a wasteful number, since it uses less digits than its factorization.

114450100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3012 (or 3005 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 16.

The square root of 114450100 is about 10698.1353515461. The cubic root of 114450100 is about 485.5180633493.

The spelling of 114450100 in words is "one hundred fourteen million, four hundred fifty thousand, one hundred".