105997215020 has 48 divisors (see below), whose sum is σ = 230312496960. Its totient is φ = 40929267456.

The previous prime is 105997215019. The next prime is 105997215073. The reversal of 105997215020 is 20512799501.

It is a super-2 number, since 2×105997215020² (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 (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3891569 + ... + 3918711.

It is an arithmetic number, because the mean of its divisors is an integer number (4798177020).

Almost surely, 2^105997215020 is an apocalyptic number.

105997215020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105997215020 is an abundant number, since it is smaller than the sum of its proper divisors (124315281940).

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

105997215020 is a wasteful number, since it uses less digits than its factorization.

105997215020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33914 (or 33912 counting only the distinct ones).

The product of its (nonzero) digits is 56700, while the sum is 41.

The spelling of 105997215020 in words is "one hundred five billion, nine hundred ninety-seven million, two hundred fifteen thousand, twenty".