112687776100 has 27 divisors (see below), whose sum is σ = 244539758827. Its totient is φ = 45073767680.

The previous prime is 112687776083. The next prime is 112687776139. The reversal of 112687776100 is 1677786211.

The square root of 112687776100 is 335690.

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

It can be written as a sum of positive squares in 4 ways, for example, as 43661774116 + 69026001984 = 208954^2 + 262728^2 .

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 8 ways as a sum of consecutive naturals, for example, 3340116 + ... + 3373684.

Almost surely, 2^112687776100 is an apocalyptic number.

112687776100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

112687776100 is the 335690-th square number.

It is an amenable number.

112687776100 is an abundant number, since it is smaller than the sum of its proper divisors (131851982727).

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

112687776100 is an frugal number, since it uses more digits than its factorization.

112687776100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67152 (or 33576 counting only the distinct ones).

The product of its (nonzero) digits is 197568, while the sum is 46.

The spelling of 112687776100 in words is "one hundred twelve billion, six hundred eighty-seven million, seven hundred seventy-six thousand, one hundred".