115756201 has 16 divisors (see below), whose sum is σ = 131682816. Its totient is φ = 100800000.

The previous prime is 115756127. The next prime is 115756229. The reversal of 115756201 is 102657511.

It is a 3-Lehmer number, since φ(115756201) divides (115756201-1)³.

It is a cyclic number.

It is not a de Polignac number, because 115756201 - 2⁷ = 115756073 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 115756201.

It is not an unprimeable number, because it can be changed into a prime (115756231) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32761 + ... + 36121.

It is an arithmetic number, because the mean of its divisors is an integer number (8230176).

It is a Poulet number, since it divides 2^115756200-1.

Almost surely, 2^115756201 is an apocalyptic number.

115756201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

115756201 is a deficient number, since it is larger than the sum of its proper divisors (15926615).

115756201 is a wasteful number, since it uses less digits than its factorization.

115756201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3504.

The product of its (nonzero) digits is 2100, while the sum is 28.

The square root of 115756201 is about 10759.0055767250. The cubic root of 115756201 is about 487.3579876508.

The spelling of 115756201 in words is "one hundred fifteen million, seven hundred fifty-six thousand, two hundred one".