113955380 has 162 divisors, whose sum is σ = 316173186. Its totient is φ = 34372800.

The previous prime is 113955379. The next prime is 113955383. The reversal of 113955380 is 83559311.

It can be written as a sum of positive squares in only one way, i.e., 91164304 + 22791076 = 9548^2 + 4774^2 .

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 113955380.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113955383) by changing a digit.

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 53 ways as a sum of consecutive naturals, for example, 3675965 + ... + 3675995.

Almost surely, 2^113955380 is an apocalyptic number.

113955380 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 113955380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158086593).

113955380 is an abundant number, since it is smaller than the sum of its proper divisors (202217806).

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

113955380 is a wasteful number, since it uses less digits than its factorization.

113955380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 35.

The square root of 113955380 is about 10674.9885245840. The cubic root of 113955380 is about 484.8174889852.

The spelling of 113955380 in words is "one hundred thirteen million, nine hundred fifty-five thousand, three hundred eighty".