105661973680 has 20 divisors (see below), whose sum is σ = 245664088992. Its totient is φ = 42264789440.

The previous prime is 105661973663. The next prime is 105661973719. The reversal of 105661973680 is 86379166501.

It is a happy number.

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

It is a super-2 number, since 2×105661973680² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 660387256 + ... + 660387415.

Almost surely, 2^105661973680 is an apocalyptic number.

105661973680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105661973680 is an abundant number, since it is smaller than the sum of its proper divisors (140002115312).

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

105661973680 is a wasteful number, since it uses less digits than its factorization.

105661973680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1320774684 (or 1320774678 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 52.

The spelling of 105661973680 in words is "one hundred five billion, six hundred sixty-one million, nine hundred seventy-three thousand, six hundred eighty".