105772906747899 has 16 divisors (see below), whose sum is σ = 156799592294400. Its totient is φ = 70470725798088.

The previous prime is 105772906747897. The next prime is 105772906747903. The reversal of 105772906747899 is 998747609277501.

105772906747899 is a `hidden beast` number, since 1 + 0 + 57 + 7 + 2 + 9 + 0 + 6 + 7 + 478 + 99 = 666.

It is not a de Polignac number, because 105772906747899 - 2¹ = 105772906747897 is a prime.

It is a super-2 number, since 2×105772906747899² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105772906747897) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1237327779 + ... + 1237413260.

It is an arithmetic number, because the mean of its divisors is an integer number (9799974518400).

Almost surely, 2^{105772906747899} is an apocalyptic number.

105772906747899 is a deficient number, since it is larger than the sum of its proper divisors (51026685546501).

105772906747899 is a wasteful number, since it uses less digits than its factorization.

105772906747899 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2474742631 (or 2474742625 counting only the distinct ones).

The product of its (nonzero) digits is 3360631680, while the sum is 81.

The spelling of 105772906747899 in words is "one hundred five trillion, seven hundred seventy-two billion, nine hundred six million, seven hundred forty-seven thousand, eight hundred ninety-nine".