112523706100 has 144 divisors (see below), whose sum is σ = 269547497856. Its totient is φ = 40518720000.

The previous prime is 112523706077. The next prime is 112523706143. The reversal of 112523706100 is 1607325211.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8790705 + ... + 8803495.

It is an arithmetic number, because the mean of its divisors is an integer number (1871857624).

Almost surely, 2^112523706100 is an apocalyptic number.

112523706100 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 112523706100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134773748928).

112523706100 is an abundant number, since it is smaller than the sum of its proper divisors (157023791756).

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

112523706100 is a wasteful number, since it uses less digits than its factorization.

112523706100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12986 (or 12979 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 28.

The spelling of 112523706100 in words is "one hundred twelve billion, five hundred twenty-three million, seven hundred six thousand, one hundred".