102648450430206 has 80 divisors (see below), whose sum is σ = 230955194208816. Its totient is φ = 34075388841984.

The previous prime is 102648450430193. The next prime is 102648450430237. The reversal of 102648450430206 is 602034054846201.

102648450430206 is a `hidden beast` number, since 1 + 0 + 2 + 6 + 4 + 8 + 4 + 5 + 0 + 430 + 206 = 666.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 187370920 + ... + 187917956.

Almost surely, 2^{102648450430206} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102648450430206, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115477597104408).

102648450430206 is an abundant number, since it is smaller than the sum of its proper divisors (128306743778610).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102648450430206 is a wasteful number, since it uses less digits than its factorization.

102648450430206 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 551815 (or 551806 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 102648450430206 in words is "one hundred two trillion, six hundred forty-eight billion, four hundred fifty million, four hundred thirty thousand, two hundred six".