105653982160 has 20 divisors (see below), whose sum is σ = 245645508708. Its totient is φ = 42261592832.

The previous prime is 105653982121. The next prime is 105653982191. The reversal of 105653982160 is 61289356501.

It can be written as a sum of positive squares in 2 ways, for example, as 30564829584 + 75089152576 = 174828^2 + 274024^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×105653982160² (a number of 23 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 105653982160.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 660337309 + ... + 660337468.

Almost surely, 2^105653982160 is an apocalyptic number.

105653982160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105653982160 is an abundant number, since it is smaller than the sum of its proper divisors (139991526548).

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

105653982160 is a wasteful number, since it uses less digits than its factorization.

105653982160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1320674790 (or 1320674784 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 46.

The spelling of 105653982160 in words is "one hundred five billion, six hundred fifty-three million, nine hundred eighty-two thousand, one hundred sixty".