101797465417729 has 9 divisors (see below), whose sum is σ = 101875668394377. Its totient is φ = 101719322449344.

The previous prime is 101797465417727. The next prime is 101797465417741. The reversal of 101797465417729 is 927714564797101.

The square root of 101797465417729 is 10089473.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 21448615500225 + 80348849917504 = 4631265^2 + 8963752^2 .

It is not a de Polignac number, because 101797465417729 - 2¹ = 101797465417727 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101797465417721) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 16718253717 + ... + 16718259805.

Almost surely, 2^{101797465417729} is an apocalyptic number.

101797465417729 is the 10089473-rd square number.

101797465417729 is the 5044737-th centered octagonal number.

It is an amenable number.

101797465417729 is a deficient number, since it is larger than the sum of its proper divisors (78202976648).

101797465417729 is an frugal number, since it uses more digits than its factorization.

101797465417729 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15492 (or 7746 counting only the distinct ones).

The product of its (nonzero) digits is 186701760, while the sum is 70.

The spelling of 101797465417729 in words is "one hundred one trillion, seven hundred ninety-seven billion, four hundred sixty-five million, four hundred seventeen thousand, seven hundred twenty-nine".