105515313000 has 64 divisors (see below), whose sum is σ = 329207785920. Its totient is φ = 28137416000.

The previous prime is 105515312977. The next prime is 105515313017. The reversal of 105515313000 is 313515501.

It is a super-2 number, since 2×105515313000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 17582886 + ... + 17588885.

It is an arithmetic number, because the mean of its divisors is an integer number (5143871655).

Almost surely, 2^105515313000 is an apocalyptic number.

105515313000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105515313000 is an abundant number, since it is smaller than the sum of its proper divisors (223692472920).

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

105515313000 is a wasteful number, since it uses less digits than its factorization.

105515313000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35171795 (or 35171781 counting only the distinct ones).

The product of its (nonzero) digits is 1125, while the sum is 24.

Adding to 105515313000 its reverse (313515501), we get a palindrome (105828828501).

The spelling of 105515313000 in words is "one hundred five billion, five hundred fifteen million, three hundred thirteen thousand".