102963332641 has 9 divisors (see below), whose sum is σ = 111497356659. Its totient is φ = 95039225736.

The previous prime is 102963332623. The next prime is 102963332657. The reversal of 102963332641 is 146233369201.

The square root of 102963332641 is 320879.

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

It can be written as a sum of positive squares in only one way, i.e., 15231262225 + 87732070416 = 123415^2 + 296196^2 .

It is not a de Polignac number, because 102963332641 - 2³¹ = 100815848993 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102963332594 and 102963332603.

It is not an unprimeable number, because it can be changed into a prime (102963332441) 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, 4159086 + ... + 4183768.

Almost surely, 2^102963332641 is an apocalyptic number.

102963332641 is the 320879-th square number.

102963332641 is the 160440-th centered octagonal number.

It is an amenable number.

102963332641 is a deficient number, since it is larger than the sum of its proper divisors (8534024018).

102963332641 is an frugal number, since it uses more digits than its factorization.

102963332641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49392 (or 24696 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 40.

The spelling of 102963332641 in words is "one hundred two billion, nine hundred sixty-three million, three hundred thirty-two thousand, six hundred forty-one".