112553100 has 108 divisors (see below), whose sum is σ = 384897240. Its totient is φ = 27283200.

The previous prime is 112553083. The next prime is 112553101. The reversal of 112553100 is 1355211.

112553100 is a `hidden beast` number, since 1 + 12 + 553 + 100 = 666.

It is a super-2 number, since 2×112553100² = 25336400639220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (112553101) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4216 + ... + 15584.

Almost surely, 2^112553100 is an apocalyptic number.

112553100 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 112553100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192448620).

112553100 is an abundant number, since it is smaller than the sum of its proper divisors (272344140).

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

112553100 is a wasteful number, since it uses less digits than its factorization.

112553100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11400 (or 11390 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

The square root of 112553100 is about 10609.1045805007. The cubic root of 112553100 is about 482.8206321878.

The spelling of 112553100 in words is "one hundred twelve million, five hundred fifty-three thousand, one hundred".