115029600 has 288 divisors, whose sum is σ = 440971776. Its totient is φ = 25497600.

The previous prime is 115029587. The next prime is 115029613. The reversal of 115029600 is 6920511.

It is an interprime number because it is at equal distance from previous prime (115029587) and next prime (115029613).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 688717 + ... + 688883.

It is an arithmetic number, because the mean of its divisors is an integer number (1531152).

Almost surely, 2^115029600 is an apocalyptic number.

115029600 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 115029600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220485888).

115029600 is an abundant number, since it is smaller than the sum of its proper divisors (325942176).

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

115029600 is a wasteful number, since it uses less digits than its factorization.

115029600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 24.

The square root of 115029600 is about 10725.1853130843. The cubic root of 115029600 is about 486.3361321814.

The spelling of 115029600 in words is "one hundred fifteen million, twenty-nine thousand, six hundred".