112835528100 has 81 divisors (see below), whose sum is σ = 353708283747. Its totient is φ = 30086786880.

The previous prime is 112835528093. The next prime is 112835528111. The reversal of 112835528100 is 1825538211.

The square root of 112835528100 is 335910.

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

112835528100 is a `hidden beast` number, since 1 + 1 + 28 + 3 + 5 + 528 + 100 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 19405047204 + 93430480896 = 139302^2 + 305664^2 .

It is a super-2 number, since 2×112835528100² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 10071702 + ... + 10082898.

Almost surely, 2^112835528100 is an apocalyptic number.

112835528100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

112835528100 is the 335910-th square number.

It is an amenable number.

112835528100 is an abundant number, since it is smaller than the sum of its proper divisors (240872755647).

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

112835528100 is an equidigital number, since it uses as much as digits as its factorization.

112835528100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22414 (or 11207 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 36.

Multiplying 112835528100 by its sum of digits (36), we get a square (4062079011600 = 2015460²).

112835528100 divided by its sum of digits (36) gives a square (3134320225 = 55985²).

The spelling of 112835528100 in words is "one hundred twelve billion, eight hundred thirty-five million, five hundred twenty-eight thousand, one hundred".