115105860 has 120 divisors (see below), whose sum is σ = 370111896. Its totient is φ = 29928960.

The previous prime is 115105849. The next prime is 115105871. The reversal of 115105860 is 68501511.

It is an interprime number because it is at equal distance from previous prime (115105849) and next prime (115105871).

It can be written as a sum of positive squares in 4 ways, for example, as 15876 + 115089984 = 126^2 + 10728^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 65554 + ... + 67286.

Almost surely, 2^115105860 is an apocalyptic number.

115105860 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 115105860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185055948).

115105860 is an abundant number, since it is smaller than the sum of its proper divisors (255006036).

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

115105860 is a wasteful number, since it uses less digits than its factorization.

115105860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1795 (or 1784 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 27.

The square root of 115105860 is about 10728.7399073703. The cubic root of 115105860 is about 486.4435822073.

The spelling of 115105860 in words is "one hundred fifteen million, one hundred five thousand, eight hundred sixty".