112587091600 has 135 divisors (see below), whose sum is σ = 285799778793. Its totient is φ = 42616264320.

The previous prime is 112587091541. The next prime is 112587091607. The reversal of 112587091600 is 6190785211.

It is a happy number.

The square root of 112587091600 is 335540.

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

It can be written as a sum of positive squares in only one way, i.e., 40531352976 + 72055738624 = 201324^2 + 268432^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (112587091607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 127504759 + ... + 127505641.

Almost surely, 2^112587091600 is an apocalyptic number.

112587091600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

112587091600 is the 335540-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112587091600

112587091600 is an abundant number, since it is smaller than the sum of its proper divisors (173212687193).

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

112587091600 is an frugal number, since it uses more digits than its factorization.

112587091600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1822 (or 909 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 40.

The spelling of 112587091600 in words is "one hundred twelve billion, five hundred eighty-seven million, ninety-one thousand, six hundred".