113754810048100 has 135 divisors (see below), whose sum is σ = 267460259063501. Its totient is φ = 41995120689600.

The previous prime is 113754810048079. The next prime is 113754810048161. The reversal of 113754810048100 is 1840018457311.

The square root of 113754810048100 is 10665590.

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

It can be written as a sum of positive squares in 7 ways, for example, as 111611068968996 + 2143741079104 = 10564614^2 + 1464152^2 .

It is a super-2 number, since 2×113754810048100² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 18024843945 + ... + 18024850255.

Almost surely, 2^{113754810048100} is an apocalyptic number.

113754810048100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

113754810048100 is the 10665590-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113754810048100

113754810048100 is an abundant number, since it is smaller than the sum of its proper divisors (153705449015401).

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

113754810048100 is an frugal number, since it uses more digits than its factorization.

113754810048100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12688 (or 6331 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 43.

The spelling of 113754810048100 in words is "one hundred thirteen trillion, seven hundred fifty-four billion, eight hundred ten million, forty-eight thousand, one hundred".