115701600 has 288 divisors, whose sum is σ = 440971776. Its totient is φ = 25804800.

The previous prime is 115701589. The next prime is 115701611. The reversal of 115701600 is 6107511.

It is an interprime number because it is at equal distance from previous prime (115701589) and next prime (115701611).

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 1192752 + ... + 1192848.

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

Almost surely, 2^115701600 is an apocalyptic number.

115701600 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 115701600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220485888).

115701600 is an abundant number, since it is smaller than the sum of its proper divisors (325270176).

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

115701600 is a wasteful number, since it uses less digits than its factorization.

115701600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 21.

The square root of 115701600 is about 10756.4678217340. The cubic root of 115701600 is about 487.2813483627.

The spelling of 115701600 in words is "one hundred fifteen million, seven hundred one thousand, six hundred".