112106531100 has 144 divisors (see below), whose sum is σ = 326760086016. Its totient is φ = 29674656000.

The previous prime is 112106531087. The next prime is 112106531107. The reversal of 112106531100 is 1135601211.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112106531107) 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, 35130505 + ... + 35133695.

It is an arithmetic number, because the mean of its divisors is an integer number (2269167264).

Almost surely, 2^112106531100 is an apocalyptic number.

112106531100 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 112106531100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163380043008).

112106531100 is an abundant number, since it is smaller than the sum of its proper divisors (214653554916).

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

112106531100 is a wasteful number, since it uses less digits than its factorization.

112106531100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4036 (or 4029 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 21.

The spelling of 112106531100 in words is "one hundred twelve billion, one hundred six million, five hundred thirty-one thousand, one hundred".