102818346409 has 9 divisors (see below), whose sum is σ = 106495695397. Its totient is φ = 99263907904.

The previous prime is 102818346349. The next prime is 102818346431. The reversal of 102818346409 is 904643818201.

The square root of 102818346409 is 320653.

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 9776265625 + 93042080784 = 98875^2 + 305028^2 .

It is not a de Polignac number, because 102818346409 - 2¹⁷ = 102818215337 is a prime.

It is a super-2 number, since 2×102818346409² (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 (102818346479) 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, 9293409 + ... + 9304465.

Almost surely, 2^102818346409 is an apocalyptic number.

102818346409 is the 320653-rd square number.

102818346409 is the 160327-th centered octagonal number.

It is an amenable number.

102818346409 is a deficient number, since it is larger than the sum of its proper divisors (3677348988).

102818346409 is an frugal number, since it uses more digits than its factorization.

102818346409 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22172 (or 11086 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 46.

The spelling of 102818346409 in words is "one hundred two billion, eight hundred eighteen million, three hundred forty-six thousand, four hundred nine".