112499868100 has 81 divisors (see below), whose sum is σ = 259461219157. Its totient is φ = 42331425280.

The previous prime is 112499868037. The next prime is 112499868121. The reversal of 112499868100 is 1868994211.

The square root of 112499868100 is 335410.

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

It can be written as a sum of positive squares in 13 ways, for example, as 72831975876 + 39667892224 = 269874^2 + 199168^2 .

It is a super-2 number, since 2×112499868100² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 57018714 + ... + 57020686.

Almost surely, 2^112499868100 is an apocalyptic number.

112499868100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

112499868100 is the 335410-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112499868100

112499868100 is an abundant number, since it is smaller than the sum of its proper divisors (146961351057).

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

112499868100 is an equidigital number, since it uses as much as digits as its factorization.

112499868100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3994 (or 1997 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 49.

Multiplying 112499868100 by its sum of digits (49), we get a square (5512493536900 = 2347870²).

The spelling of 112499868100 in words is "one hundred twelve billion, four hundred ninety-nine million, eight hundred sixty-eight thousand, one hundred".