115101600 has 144 divisors (see below), whose sum is σ = 378100800. Its totient is φ = 30412800.

The previous prime is 115101593. The next prime is 115101629. The reversal of 115101600 is 6101511.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 115101600.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 477480 + ... + 477720.

It is an arithmetic number, because the mean of its divisors is an integer number (2625700).

Almost surely, 2^115101600 is an apocalyptic number.

115101600 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 115101600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189050400).

115101600 is an abundant number, since it is smaller than the sum of its proper divisors (262999200).

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

115101600 is a wasteful number, since it uses less digits than its factorization.

115101600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 463 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 15.

The square root of 115101600 is about 10728.5413733648. The cubic root of 115101600 is about 486.4375811365.

The spelling of 115101600 in words is "one hundred fifteen million, one hundred one thousand, six hundred".