112670100 has 108 divisors (see below), whose sum is σ = 368580576. Its totient is φ = 28733760.

The previous prime is 112670099. The next prime is 112670137. The reversal of 112670100 is 1076211.

It is a super-4 number, since 4×112670100⁴ (a number of 33 digits) contains 4444 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 17979 + ... + 23421.

Almost surely, 2^112670100 is an apocalyptic number.

112670100 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 112670100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184290288).

112670100 is an abundant number, since it is smaller than the sum of its proper divisors (255910476).

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

112670100 is a wasteful number, since it uses less digits than its factorization.

112670100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5486 (or 5476 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 18.

The square root of 112670100 is about 10614.6172799588. The cubic root of 112670100 is about 482.9878731058.

The spelling of 112670100 in words is "one hundred twelve million, six hundred seventy thousand, one hundred".