105780717660 has 96 divisors (see below), whose sum is σ = 298097513280. Its totient is φ = 28026519552.

The previous prime is 105780717617. The next prime is 105780717661. The reversal of 105780717660 is 66717087501.

It is a happy number.

It is a super-2 number, since 2×105780717660² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105780717661) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9872386 + ... + 9883094.

It is an arithmetic number, because the mean of its divisors is an integer number (3105182430).

Almost surely, 2^105780717660 is an apocalyptic number.

105780717660 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105780717660 is an abundant number, since it is smaller than the sum of its proper divisors (192316795620).

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

105780717660 is a wasteful number, since it uses less digits than its factorization.

105780717660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11767 (or 11765 counting only the distinct ones).

The product of its (nonzero) digits is 493920, while the sum is 48.

The spelling of 105780717660 in words is "one hundred five billion, seven hundred eighty million, seven hundred seventeen thousand, six hundred sixty".