105660980 has 24 divisors (see below), whose sum is σ = 222082560. Its totient is φ = 42227360.

The previous prime is 105660979. The next prime is 105661027. The reversal of 105660980 is 89066501.

It is a super-2 number, since 2×105660980² = 22328485389120800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105660980.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39485 + ... + 42075.

It is an arithmetic number, because the mean of its divisors is an integer number (9253440).

Almost surely, 2^105660980 is an apocalyptic number.

105660980 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105660980 is an abundant number, since it is smaller than the sum of its proper divisors (116421580).

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

105660980 is a wasteful number, since it uses less digits than its factorization.

105660980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4639 (or 4637 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 35.

The square root of 105660980 is about 10279.1526888163. The cubic root of 105660980 is about 472.7572649745.

The spelling of 105660980 in words is "one hundred five million, six hundred sixty thousand, nine hundred eighty".