105010505010060 has 192 divisors, whose sum is σ = 333320617835520. Its totient is φ = 24487697710080.

The previous prime is 105010505010011. The next prime is 105010505010101. The reversal of 105010505010060 is 60010505010501.

It is a super-2 number, since 2×105010505010060² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105010505010060.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1217286489 + ... + 1217372751.

It is an arithmetic number, because the mean of its divisors is an integer number (1736044884560).

Almost surely, 2^{105010505010060} is an apocalyptic number.

105010505010060 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105010505010060 is an abundant number, since it is smaller than the sum of its proper divisors (228310112825460).

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

105010505010060 is a wasteful number, since it uses less digits than its factorization.

105010505010060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168448 (or 168446 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 24.

The spelling of 105010505010060 in words is "one hundred five trillion, ten billion, five hundred five million, ten thousand, sixty".