105460135680 has 144 divisors (see below), whose sum is σ = 338762340000. Its totient is φ = 27959967744.

The previous prime is 105460135679. The next prime is 105460135709. The reversal of 105460135680 is 86531064501.

It is a super-2 number, since 2×105460135680² (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 15 ways as a sum of consecutive naturals, for example, 584946 + ... + 743694.

It is an arithmetic number, because the mean of its divisors is an integer number (2352516250).

Almost surely, 2^105460135680 is an apocalyptic number.

105460135680 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 105460135680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169381170000).

105460135680 is an abundant number, since it is smaller than the sum of its proper divisors (233302204320).

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

105460135680 is a wasteful number, since it uses less digits than its factorization.

105460135680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158946 (or 158932 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 39.

The spelling of 105460135680 in words is "one hundred five billion, four hundred sixty million, one hundred thirty-five thousand, six hundred eighty".