105460393395000 has 160 divisors (see below), whose sum is σ = 376523736336000. Its totient is φ = 24105232752000.

The previous prime is 105460393394927. The next prime is 105460393395013. The reversal of 105460393395000 is 593393064501.

It is a super-2 number, since 2×105460393395000² (a number of 29 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 39 ways as a sum of consecutive naturals, for example, 502087350 + ... + 502297349.

It is an arithmetic number, because the mean of its divisors is an integer number (2353273352100).

Almost surely, 2^{105460393395000} is an apocalyptic number.

105460393395000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105460393395000 is an abundant number, since it is smaller than the sum of its proper divisors (271063342941000).

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

105460393395000 is a wasteful number, since it uses less digits than its factorization.

105460393395000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1004384735 (or 1004384716 counting only the distinct ones).

The product of its (nonzero) digits is 1312200, while the sum is 48.

The spelling of 105460393395000 in words is "one hundred five trillion, four hundred sixty billion, three hundred ninety-three million, three hundred ninety-five thousand".