113805216 has 192 divisors, whose sum is σ = 392232960. Its totient is φ = 31415040.

The previous prime is 113805187. The next prime is 113805221. The reversal of 113805216 is 612508311.

113805216 = 1901² + 1902² + ... + 1931².

113805216 is a `hidden beast` number, since 1 + 138 + 0 + 521 + 6 = 666.

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 113805216.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 187185 + ... + 187791.

It is an arithmetic number, because the mean of its divisors is an integer number (2042880).

Almost surely, 2^113805216 is an apocalyptic number.

113805216 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 113805216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196116480).

113805216 is an abundant number, since it is smaller than the sum of its proper divisors (278427744).

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

113805216 is a wasteful number, since it uses less digits than its factorization.

113805216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 664 (or 650 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 113805216 is about 10667.9527558009. The cubic root of 113805216 is about 484.6044402901.

The spelling of 113805216 in words is "one hundred thirteen million, eight hundred five thousand, two hundred sixteen".