105064366401 has 12 divisors (see below), whose sum is σ = 151822616400. Its totient is φ = 70013845080.

The previous prime is 105064366391. The next prime is 105064366403. The reversal of 105064366401 is 104663460501.

It is a happy number.

105064366401 is a `hidden beast` number, since 1 + 0 + 5 + 0 + 6 + 4 + 3 + 6 + 640 + 1 = 666.

It is not a de Polignac number, because 105064366401 - 2¹⁹ = 105063842113 is a prime.

It is a super-2 number, since 2×105064366401² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105064366403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2399251 + ... + 2442648.

It is an arithmetic number, because the mean of its divisors is an integer number (12651884700).

Almost surely, 2^105064366401 is an apocalyptic number.

It is an amenable number.

105064366401 is a deficient number, since it is larger than the sum of its proper divisors (46758249999).

105064366401 is a wasteful number, since it uses less digits than its factorization.

105064366401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4844316 (or 4844313 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 105064366401 in words is "one hundred five billion, sixty-four million, three hundred sixty-six thousand, four hundred one".