115105435312 has 80 divisors (see below), whose sum is σ = 268398535680. Its totient is φ = 46753065216.

The previous prime is 115105435309. The next prime is 115105435343. The reversal of 115105435312 is 213534501511.

It is a super-2 number, since 2×115105435312² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75813 + ... + 485755.

It is an arithmetic number, because the mean of its divisors is an integer number (3354981696).

Almost surely, 2^115105435312 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 115105435312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134199267840).

115105435312 is an abundant number, since it is smaller than the sum of its proper divisors (153293100368).

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

115105435312 is a wasteful number, since it uses less digits than its factorization.

115105435312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 410090 (or 410084 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 31.

Adding to 115105435312 its reverse (213534501511), we get a palindrome (328639936823).

The spelling of 115105435312 in words is "one hundred fifteen billion, one hundred five million, four hundred thirty-five thousand, three hundred twelve".