113106600 has 144 divisors (see below), whose sum is σ = 392296320. Its totient is φ = 29174400.

The previous prime is 113106557. The next prime is 113106613. The reversal of 113106600 is 6601311.

113106600 = 54³ + 55³ + ... + 146³.

113106600 is a `hidden beast` number, since 1 + 1 + 3 + 1 + 0 + 660 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 54787 + ... + 56813.

It is an arithmetic number, because the mean of its divisors is an integer number (2724280).

Almost surely, 2^113106600 is an apocalyptic number.

113106600 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 113106600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196148160).

113106600 is an abundant number, since it is smaller than the sum of its proper divisors (279189720).

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

113106600 is a wasteful number, since it uses less digits than its factorization.

113106600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2080 (or 2068 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 113106600 is about 10635.1586730053. The cubic root of 113106600 is about 483.6107906226.

Adding to 113106600 its reverse (6601311), we get a palindrome (119707911).

The spelling of 113106600 in words is "one hundred thirteen million, one hundred six thousand, six hundred".