105513515000 has 80 divisors (see below), whose sum is σ = 248857152720. Its totient is φ = 41925600000.

The previous prime is 105513514987. The next prime is 105513515011. The reversal of 105513515000 is 515315501.

It is a super-2 number, since 2×105513515000² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 685124 + ... + 824876.

It is an arithmetic number, because the mean of its divisors is an integer number (3110714409).

Almost surely, 2^105513515000 is an apocalyptic number.

105513515000 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 105513515000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124428576360).

105513515000 is an abundant number, since it is smaller than the sum of its proper divisors (143343637720).

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

105513515000 is a wasteful number, since it uses less digits than its factorization.

105513515000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139930 (or 139911 counting only the distinct ones).

The product of its (nonzero) digits is 1875, while the sum is 26.

The spelling of 105513515000 in words is "one hundred five billion, five hundred thirteen million, five hundred fifteen thousand".