115385100 has 144 divisors (see below), whose sum is σ = 363310080. Its totient is φ = 28166400.

The previous prime is 115385087. The next prime is 115385107. The reversal of 115385100 is 1583511.

It is not an unprimeable number, because it can be changed into a prime (115385107) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 176374 + ... + 177026.

Almost surely, 2^115385100 is an apocalyptic number.

115385100 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 115385100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181655040).

115385100 is an abundant number, since it is smaller than the sum of its proper divisors (247924980).

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

115385100 is a wasteful number, since it uses less digits than its factorization.

115385100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 720 (or 713 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 24.

The square root of 115385100 is about 10741.7456681863. The cubic root of 115385100 is about 486.8366256531.

The spelling of 115385100 in words is "one hundred fifteen million, three hundred eighty-five thousand, one hundred".