112139100 has 144 divisors (see below), whose sum is σ = 369663840. Its totient is φ = 29145600.

The previous prime is 112139077. The next prime is 112139101. The reversal of 112139100 is 1931211.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112139101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 110194 + ... + 111206.

It is an arithmetic number, because the mean of its divisors is an integer number (2567110).

Almost surely, 2^112139100 is an apocalyptic number.

112139100 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 112139100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184831920).

112139100 is an abundant number, since it is smaller than the sum of its proper divisors (257524740).

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

112139100 is a wasteful number, since it uses less digits than its factorization.

112139100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1077 (or 1064 counting only the distinct ones).

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

The square root of 112139100 is about 10589.5750622959. The cubic root of 112139100 is about 482.2279243200.

The spelling of 112139100 in words is "one hundred twelve million, one hundred thirty-nine thousand, one hundred".