115105601 has 8 divisors (see below), whose sum is σ = 124043304. Its totient is φ = 106179840.

The previous prime is 115105583. The next prime is 115105609. The reversal of 115105601 is 106501511.

It can be written as a sum of positive squares in 4 ways, for example, as 24760576 + 90345025 = 4976^2 + 9505^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 115105601 - 2¹⁸ = 114843457 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (115105609) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35321 + ... + 38441.

It is an arithmetic number, because the mean of its divisors is an integer number (15505413).

Almost surely, 2^115105601 is an apocalyptic number.

It is an amenable number.

115105601 is a deficient number, since it is larger than the sum of its proper divisors (8937703).

115105601 is a wasteful number, since it uses less digits than its factorization.

115105601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5971.

The product of its (nonzero) digits is 150, while the sum is 20.

The square root of 115105601 is about 10728.7278369805. The cubic root of 115105601 is about 486.4432173577.

The spelling of 115105601 in words is "one hundred fifteen million, one hundred five thousand, six hundred one".