113506106644 has 144 divisors (see below), whose sum is σ = 242393074560. Its totient is φ = 46324535040.

The previous prime is 113506106639. The next prime is 113506106663. The reversal of 113506106644 is 446601605311.

It is a Harshad number since it is a multiple of its sum of digits (37).

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, 133066522 + ... + 133067374.

It is an arithmetic number, because the mean of its divisors is an integer number (1683285240).

Almost surely, 2^113506106644 is an apocalyptic number.

113506106644 is a gapful number since it is divisible by the number (14) 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 113506106644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121196537280).

113506106644 is an abundant number, since it is smaller than the sum of its proper divisors (128886967916).

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

113506106644 is a wasteful number, since it uses less digits than its factorization.

113506106644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1278 (or 1269 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 37.

The spelling of 113506106644 in words is "one hundred thirteen billion, five hundred six million, one hundred six thousand, six hundred forty-four".