105102001565720 has 32 divisors (see below), whose sum is σ = 236605357605600. Its totient is φ = 42018426567168.

The previous prime is 105102001565699. The next prime is 105102001565777. The reversal of 105102001565720 is 27565100201501.

It is a super-2 number, since 2×105102001565720² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 699113249 + ... + 699263568.

It is an arithmetic number, because the mean of its divisors is an integer number (7393917425175).

Almost surely, 2^{105102001565720} is an apocalyptic number.

105102001565720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105102001565720 is an abundant number, since it is smaller than the sum of its proper divisors (131503356039880).

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

105102001565720 is a wasteful number, since it uses less digits than its factorization.

105102001565720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1398378707 (or 1398378703 counting only the distinct ones).

The product of its (nonzero) digits is 21000, while the sum is 35.

The spelling of 105102001565720 in words is "one hundred five trillion, one hundred two billion, one million, five hundred sixty-five thousand, seven hundred twenty".