105001001000701 has 6 divisors (see below), whose sum is σ = 113699308776090. Its totient is φ = 96924000923568.

The previous prime is 105001001000669. The next prime is 105001001000711. The reversal of 105001001000701 is 107000100100501.

It can be written as a sum of positive squares in 3 ways, for example, as 9445019225625 + 95555981775076 = 3073275^2 + 9775274^2 .

It is not a de Polignac number, because 105001001000701 - 2⁵ = 105001001000669 is a prime.

It is a super-2 number, since 2×105001001000701² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105001001000711) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 310653848946 + ... + 310653849283.

It is an arithmetic number, because the mean of its divisors is an integer number (18949884796015).

Almost surely, 2^{105001001000701} is an apocalyptic number.

It is an amenable number.

105001001000701 is a deficient number, since it is larger than the sum of its proper divisors (8698307775389).

105001001000701 is an equidigital number, since it uses as much as digits as its factorization.

105001001000701 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 621307698255 (or 621307698242 counting only the distinct ones).

The product of its (nonzero) digits is 35, while the sum is 16.

The spelling of 105001001000701 in words is "one hundred five trillion, one billion, one million, seven hundred one", and thus it is an aban number.