113106739200 has 1512 divisors, whose sum is σ = 497687099112. Its totient is φ = 22460497920.

The previous prime is 113106739181. The next prime is 113106739219. The reversal of 113106739200 is 2937601311.

113106739200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (113106739181) and next prime (113106739219).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 6653337592 + ... + 6653337608.

Almost surely, 2^113106739200 is an apocalyptic number.

113106739200 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 113106739200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248843549556).

113106739200 is an abundant number, since it is smaller than the sum of its proper divisors (384580359912).

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

113106739200 is a wasteful number, since it uses less digits than its factorization.

113106739200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 33.

The spelling of 113106739200 in words is "one hundred thirteen billion, one hundred six million, seven hundred thirty-nine thousand, two hundred".