113106729922560 has 1664 divisors, whose sum is σ = 446982571192320. Its totient is φ = 27240773713920.

The previous prime is 113106729922541. The next prime is 113106729922567. The reversal of 113106729922560 is 65229927601311.

113106729922560 is a `hidden beast` number, since 1 + 1 + 3 + 1 + 0 + 6 + 72 + 9 + 9 + 2 + 2 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 113106729922497 and 113106729922506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113106729922567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 85234912617 + ... + 85234913943.

Almost surely, 2^{113106729922560} is an apocalyptic number.

113106729922560 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 113106729922560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223491285596160).

113106729922560 is an abundant number, since it is smaller than the sum of its proper divisors (333875841269760).

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

113106729922560 is an equidigital number, since it uses as much as digits as its factorization.

113106729922560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1561 (or 1521 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 54.

The spelling of 113106729922560 in words is "one hundred thirteen trillion, one hundred six billion, seven hundred twenty-nine million, nine hundred twenty-two thousand, five hundred sixty".