113848900 has 81 divisors (see below), whose sum is σ = 274381527. Its totient is φ = 40972800.

The previous prime is 113848883. The next prime is 113848951. The reversal of 113848900 is 9848311.

It is a happy number.

The square root of 113848900 is 10670.

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

It can be written as a sum of positive squares in 4 ways, for example, as 4186116 + 109662784 = 2046^2 + 10472^2 .

It is a Duffinian 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 26 ways as a sum of consecutive naturals, for example, 1173652 + ... + 1173748.

Almost surely, 2^113848900 is an apocalyptic number.

113848900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

113848900 is the 10670-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113848900

113848900 is an abundant number, since it is smaller than the sum of its proper divisors (160532627).

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

113848900 is a wasteful number, since it uses less digits than its factorization.

113848900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 34.

The cubic root of 113848900 is about 484.6664373088. Note that the first 3 decimals are identical.

The spelling of 113848900 in words is "one hundred thirteen million, eight hundred forty-eight thousand, nine hundred".