102605580001 has 12 divisors (see below), whose sum is σ = 109086468412. Its totient is φ = 96490015488.

The previous prime is 102605579987. The next prime is 102605580013. The reversal of 102605580001 is 100085506201.

It can be written as a sum of positive squares in 6 ways, for example, as 8478726400 + 94126853601 = 92080^2 + 306801^2 .

It is not a de Polignac number, because 102605580001 - 2¹⁹ = 102605055713 is a prime.

It is a super-2 number, since 2×102605580001² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102605580041) 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, 204211 + ... + 496903.

Almost surely, 2^102605580001 is an apocalyptic number.

It is an amenable number.

102605580001 is a deficient number, since it is larger than the sum of its proper divisors (6480888411).

102605580001 is a wasteful number, since it uses less digits than its factorization.

102605580001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293940 (or 293923 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 28.

The spelling of 102605580001 in words is "one hundred two billion, six hundred five million, five hundred eighty thousand, one".