115748100 has 162 divisors, whose sum is σ = 393377166. Its totient is φ = 28454400.

The previous prime is 115748089. The next prime is 115748107. The reversal of 115748100 is 1847511.

115748100 is a `hidden beast` number, since 11 + 574 + 81 + 0 + 0 = 666.

It can be written as a sum of positive squares in 9 ways, for example, as 106998336 + 8749764 = 10344^2 + 2958^2 .

It is a super-2 number, since 2×115748100² = 26795245307220000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115748107) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 151720 + ... + 152480.

Almost surely, 2^115748100 is an apocalyptic number.

115748100 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 115748100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196688583).

115748100 is an abundant number, since it is smaller than the sum of its proper divisors (277629066).

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

115748100 is a wasteful number, since it uses less digits than its factorization.

115748100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 807 (or 784 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 27.

The square root of 115748100 is about 10758.6290948243. The cubic root of 115748100 is about 487.3466184134.

The spelling of 115748100 in words is "one hundred fifteen million, seven hundred forty-eight thousand, one hundred".