116072100 has 54 divisors (see below), whose sum is σ = 363824370. Its totient is φ = 30952320.

The previous prime is 116072087. The next prime is 116072113. The reversal of 116072100 is 1270611.

It is an interprime number because it is at equal distance from previous prime (116072087) and next prime (116072113).

It can be written as a sum of positive squares in 3 ways, for example, as 3415104 + 112656996 = 1848^2 + 10614^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 63585 + ... + 65384.

Almost surely, 2^116072100 is an apocalyptic number.

116072100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

116072100 is an abundant number, since it is smaller than the sum of its proper divisors (247752270).

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

116072100 is a wasteful number, since it uses less digits than its factorization.

116072100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128989 (or 128979 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 18.

The square root of 116072100 is about 10773.6762527932. The cubic root of 116072100 is about 487.8009187504.

The spelling of 116072100 in words is "one hundred sixteen million, seventy-two thousand, one hundred".