113006656 has 112 divisors (see below), whose sum is σ = 270499840. Its totient is φ = 45826560.

The previous prime is 113006627. The next prime is 113006657. The reversal of 113006656 is 656600311.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (113006657) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1097101 + ... + 1097203.

Almost surely, 2^113006656 is an apocalyptic number.

113006656 is a gapful number since it is divisible by the number (16) 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 113006656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135249920).

113006656 is an abundant number, since it is smaller than the sum of its proper divisors (157493184).

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

113006656 is a wasteful number, since it uses less digits than its factorization.

113006656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 28.

The square root of 113006656 is about 10630.4588800296. The cubic root of 113006656 is about 483.4683048607.

Adding to 113006656 its reverse (656600311), we get a palindrome (769606967).

It can be divided in two parts, 11300 and 6656, that added together give a square (17956 = 134²).

The spelling of 113006656 in words is "one hundred thirteen million, six thousand, six hundred fifty-six".