112645412100 has 1080 divisors, whose sum is σ = 428993167680. Its totient is φ = 25474176000.

The previous prime is 112645412063. The next prime is 112645412111. The reversal of 112645412100 is 1214546211.

112645412100 is a `hidden beast` number, since 1 + 1 + 2 + 645 + 4 + 1 + 2 + 10 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 1586555065 + ... + 1586555135.

It is an arithmetic number, because the mean of its divisors is an integer number (397215896).

Almost surely, 2^112645412100 is an apocalyptic number.

112645412100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112645412100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214496583840).

112645412100 is an abundant number, since it is smaller than the sum of its proper divisors (316347755580).

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

112645412100 is a wasteful number, since it uses less digits than its factorization.

112645412100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

Adding to 112645412100 its reverse (1214546211), we get a palindrome (113859958311).

The spelling of 112645412100 in words is "one hundred twelve billion, six hundred forty-five million, four hundred twelve thousand, one hundred".