105572668787999 has 16 divisors (see below), whose sum is σ = 120669776510976. Its totient is φ = 90479386464000.

The previous prime is 105572668787899. The next prime is 105572668788079. The reversal of 105572668787999 is 999787866275501.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105572668787999 is a prime.

It is a super-2 number, since 2×105572668787999² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105572668787099) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3218564399 + ... + 3218597199.

It is an arithmetic number, because the mean of its divisors is an integer number (7541861031936).

Almost surely, 2^{105572668787999} is an apocalyptic number.

105572668787999 is a deficient number, since it is larger than the sum of its proper divisors (15097107722977).

105572668787999 is a wasteful number, since it uses less digits than its factorization.

105572668787999 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77086.

The product of its (nonzero) digits is 28805414400, while the sum is 89.

The spelling of 105572668787999 in words is "one hundred five trillion, five hundred seventy-two billion, six hundred sixty-eight million, seven hundred eighty-seven thousand, nine hundred ninety-nine".