112634072100 has 567 divisors, whose sum is σ = 406395175459. Its totient is φ = 27063590400.

The previous prime is 112634072059. The next prime is 112634072141. The reversal of 112634072100 is 1270436211.

The square root of 112634072100 is 335610.

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

112634072100 is a `hidden beast` number, since 1 + 1 + 2 + 634 + 0 + 7 + 21 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (112634072059) and next prime (112634072141).

It can be written as a sum of positive squares in 4 ways, for example, as 57303741924 + 55330330176 = 239382^2 + 235224^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 996761644 + ... + 996761756.

Almost surely, 2^112634072100 is an apocalyptic number.

112634072100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

112634072100 is the 335610-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112634072100

112634072100 is an abundant number, since it is smaller than the sum of its proper divisors (293761103359).

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

112634072100 is a wasteful number, since it uses less digits than its factorization.

112634072100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The spelling of 112634072100 in words is "one hundred twelve billion, six hundred thirty-four million, seventy-two thousand, one hundred".