115033600 has 240 divisors, whose sum is σ = 334889280. Its totient is φ = 38707200.

The previous prime is 115033579. The next prime is 115033631. The reversal of 115033600 is 6330511.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a nialpdrome in base 8.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 2675179 + ... + 2675221.

It is an arithmetic number, because the mean of its divisors is an integer number (1395372).

Almost surely, 2^115033600 is an apocalyptic number.

115033600 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 115033600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167444640).

115033600 is an abundant number, since it is smaller than the sum of its proper divisors (219855680).

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

115033600 is a wasteful number, since it uses less digits than its factorization.

115033600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 19.

The square root of 115033600 is about 10725.3717884277. The cubic root of 115033600 is about 486.3417693448.

The spelling of 115033600 in words is "one hundred fifteen million, thirty-three thousand, six hundred".