115105365531104 has 288 divisors, whose sum is σ = 272550557873664. Its totient is φ = 47463087006720.

The previous prime is 115105365531097. The next prime is 115105365531113. The reversal of 115105365531104 is 401135563501511.

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, 245002727 + ... + 245472089.

It is an arithmetic number, because the mean of its divisors is an integer number (946356103728).

Almost surely, 2^{115105365531104} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 115105365531104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136275278936832).

115105365531104 is an abundant number, since it is smaller than the sum of its proper divisors (157445192342560).

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

115105365531104 is a wasteful number, since it uses less digits than its factorization.

115105365531104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 469518 (or 469491 counting only the distinct ones).

The product of its (nonzero) digits is 135000, while the sum is 41.

The spelling of 115105365531104 in words is "one hundred fifteen trillion, one hundred five billion, three hundred sixty-five million, five hundred thirty-one thousand, one hundred four".