105962916080 has 40 divisors (see below), whose sum is σ = 281558607072. Its totient is φ = 36330142464.

The previous prime is 105962916041. The next prime is 105962916097. The reversal of 105962916080 is 80619269501.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×105962916080² (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 7 ways as a sum of consecutive naturals, for example, 94609187 + ... + 94610306.

Almost surely, 2^105962916080 is an apocalyptic number.

105962916080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105962916080 is an abundant number, since it is smaller than the sum of its proper divisors (175595690992).

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

105962916080 is a wasteful number, since it uses less digits than its factorization.

105962916080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189219513 (or 189219507 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 47.

The spelling of 105962916080 in words is "one hundred five billion, nine hundred sixty-two million, nine hundred sixteen thousand, eighty".