102132820647 has 64 divisors (see below), whose sum is σ = 187116249600. Its totient is φ = 54129980160.

The previous prime is 102132820631. The next prime is 102132820651. The reversal of 102132820647 is 746028231201.

It is a happy number.

102132820647 is a `hidden beast` number, since 1 + 0 + 2 + 1 + 3 + 2 + 8 + 2 + 0 + 647 = 666.

It is not a de Polignac number, because 102132820647 - 2⁴ = 102132820631 is a prime.

It is a super-2 number, since 2×102132820647² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102132820697) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 622758 + ... + 769475.

It is an arithmetic number, because the mean of its divisors is an integer number (2923691400).

Almost surely, 2^102132820647 is an apocalyptic number.

102132820647 is a deficient number, since it is larger than the sum of its proper divisors (84983428953).

102132820647 is a wasteful number, since it uses less digits than its factorization.

102132820647 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1392285 (or 1392279 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 102132820647 in words is "one hundred two billion, one hundred thirty-two million, eight hundred twenty thousand, six hundred forty-seven".