105722641720 has 32 divisors (see below), whose sum is σ = 237902015520. Its totient is φ = 42284421760.

The previous prime is 105722641709. The next prime is 105722641727. The reversal of 105722641720 is 27146227501.

It is a super-2 number, since 2×105722641720² (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 105722641720.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105722641727) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 237114 + ... + 517366.

It is an arithmetic number, because the mean of its divisors is an integer number (7434437985).

Almost surely, 2^105722641720 is an apocalyptic number.

105722641720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105722641720 is an abundant number, since it is smaller than the sum of its proper divisors (132179373800).

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

105722641720 is a wasteful number, since it uses less digits than its factorization.

105722641720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289695 (or 289691 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 37.

The spelling of 105722641720 in words is "one hundred five billion, seven hundred twenty-two million, six hundred forty-one thousand, seven hundred twenty".