115253460100 has 81 divisors (see below), whose sum is σ = 265810276333. Its totient is φ = 43367810560.

The previous prime is 115253460089. The next prime is 115253460103. The reversal of 115253460100 is 1064352511.

The square root of 115253460100 is 339490.

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

It can be written as a sum of positive squares in 13 ways, for example, as 104397487236 + 10855972864 = 323106^2 + 104192^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (115253460103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 57712302 + ... + 57714298.

Almost surely, 2^115253460100 is an apocalyptic number.

115253460100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

115253460100 is the 339490-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 115253460100

115253460100 is an abundant number, since it is smaller than the sum of its proper divisors (150556816233).

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

115253460100 is an equidigital number, since it uses as much as digits as its factorization.

115253460100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4042 (or 2021 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 28.

Multiplying 115253460100 by its product of nonzero digits (3600), we get a square (414912456360000 = 20369400²).

The spelling of 115253460100 in words is "one hundred fifteen billion, two hundred fifty-three million, four hundred sixty thousand, one hundred".