112193100 has 198 divisors, whose sum is σ = 384406820. Its totient is φ = 28343520.

The previous prime is 112193087. The next prime is 112193101. The reversal of 112193100 is 1391211.

It is a super-2 number, since 2×112193100² = 25174583375220000, 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 (112193101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 65 ways as a sum of consecutive naturals, for example, 5904891 + ... + 5904909.

Almost surely, 2^112193100 is an apocalyptic number.

112193100 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 112193100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192203410).

112193100 is an abundant number, since it is smaller than the sum of its proper divisors (272213720).

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

112193100 is an equidigital number, since it uses as much as digits as its factorization.

112193100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

The square root of 112193100 is about 10592.1244328038. The cubic root of 112193100 is about 482.3053166812.

The spelling of 112193100 in words is "one hundred twelve million, one hundred ninety-three thousand, one hundred".