105005100000510 has 48 divisors (see below), whose sum is σ = 273031684174080. Its totient is φ = 27999470341440.

The previous prime is 105005100000503. The next prime is 105005100000589. The reversal of 105005100000510 is 15000001500501.

105005100000510 is a `hidden beast` number, since 1 + 0 + 50 + 0 + 5 + 100 + 0 + 0 + 0 + 510 = 666.

It is a super-2 number, since 2×105005100000510² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38026590 + ... + 40694369.

It is an arithmetic number, because the mean of its divisors is an integer number (5688160086960).

Almost surely, 2^{105005100000510} is an apocalyptic number.

105005100000510 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105005100000510 is an abundant number, since it is smaller than the sum of its proper divisors (168026584173570).

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

105005100000510 is a wasteful number, since it uses less digits than its factorization.

105005100000510 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78735793 (or 78735790 counting only the distinct ones).

The product of its (nonzero) digits is 125, while the sum is 18.

The spelling of 105005100000510 in words is "one hundred five trillion, five billion, one hundred million, five hundred ten", and thus it is an aban number.