115105641 has 16 divisors (see below), whose sum is σ = 175607808. Its totient is φ = 65696400.

The previous prime is 115105633. The next prime is 115105651. The reversal of 115105641 is 146501511.

It is not a de Polignac number, because 115105641 - 2³ = 115105633 is a prime.

It is not an unprimeable number, because it can be changed into a prime (115105651) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18046 + ... + 23576.

It is an arithmetic number, because the mean of its divisors is an integer number (10975488).

Almost surely, 2^115105641 is an apocalyptic number.

It is an amenable number.

115105641 is a deficient number, since it is larger than the sum of its proper divisors (60502167).

115105641 is an equidigital number, since it uses as much as digits as its factorization.

115105641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6532.

The product of its (nonzero) digits is 600, while the sum is 24.

The square root of 115105641 is about 10728.7297011342. The cubic root of 115105641 is about 486.4432737051.

The spelling of 115105641 in words is "one hundred fifteen million, one hundred five thousand, six hundred forty-one".