113845508100 has 405 divisors, whose sum is σ = 388166394693. Its totient is φ = 28860701760.

The previous prime is 113845508057. The next prime is 113845508111. The reversal of 113845508100 is 1805548311.

The square root of 113845508100 is 337410.

It is a perfect power (a square), and thus also a powerful number.

113845508100 is a `hidden beast` number, since 1 + 1 + 3 + 8 + 45 + 508 + 100 = 666.

It can be written as a sum of positive squares in only one way, i.e., 40984382916 + 72861125184 = 202446^2 + 269928^2 .

It is a tau number, because it is divible by the number of its divisors (405).

It is a super-2 number, since 2×113845508100² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 698438619 + ... + 698438781.

Almost surely, 2^113845508100 is an apocalyptic number.

113845508100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

113845508100 is the 337410-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113845508100

113845508100 is an abundant number, since it is smaller than the sum of its proper divisors (274320886593).

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

113845508100 is a wasteful number, since it uses less digits than its factorization.

113845508100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 36.

Multiplying 113845508100 by its sum of digits (36), we get a square (4098438291600 = 2024460²).

113845508100 divided by its sum of digits (36) gives a square (3162375225 = 56235²).

The spelling of 113845508100 in words is "one hundred thirteen billion, eight hundred forty-five million, five hundred eight thousand, one hundred".