113186106 has 64 divisors (see below), whose sum is σ = 277603200. Its totient is φ = 33897600.

The previous prime is 113186093. The next prime is 113186107. The reversal of 113186106 is 601681311.

113186106 is a `hidden beast` number, since 11 + 31 + 8 + 610 + 6 = 666.

It is a super-2 number, since 2×113186106² = 25622189182886472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 113186106.

It is not an unprimeable number, because it can be changed into a prime (113186107) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 51796 + ... + 53936.

It is an arithmetic number, because the mean of its divisors is an integer number (4337550).

Almost surely, 2^113186106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113186106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138801600).

113186106 is an abundant number, since it is smaller than the sum of its proper divisors (164417094).

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

113186106 is a wasteful number, since it uses less digits than its factorization.

113186106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2252 (or 2246 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 113186106 is about 10638.8959013612. The cubic root of 113186106 is about 483.7240788947.

It can be divided in two parts, 11318 and 6106, that added together give a square (17424 = 132²).

The spelling of 113186106 in words is "one hundred thirteen million, one hundred eighty-six thousand, one hundred six".