105772066401 has 8 divisors (see below), whose sum is σ = 141036298560. Its totient is φ = 70511272592.

The previous prime is 105772066363. The next prime is 105772066409. The reversal of 105772066401 is 104660277501.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 105772066401 - 2¹¹ = 105772064353 is a prime.

It is a super-2 number, since 2×105772066401² (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 105772066401.

It is not an unprimeable number, because it can be changed into a prime (105772066409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 786930 + ... + 911483.

It is an arithmetic number, because the mean of its divisors is an integer number (17629537320).

Almost surely, 2^105772066401 is an apocalyptic number.

It is an amenable number.

105772066401 is a deficient number, since it is larger than the sum of its proper divisors (35264232159).

105772066401 is a wasteful number, since it uses less digits than its factorization.

105772066401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1719175.

The product of its (nonzero) digits is 70560, while the sum is 39.

The spelling of 105772066401 in words is "one hundred five billion, seven hundred seventy-two million, sixty-six thousand, four hundred one".