102637577641 has 9 divisors (see below), whose sum is σ = 103161473271. Its totient is φ = 102116334024.

The previous prime is 102637577593. The next prime is 102637577689. The reversal of 102637577641 is 146775736201.

The square root of 102637577641 is 320371.

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

It is an interprime number because it is at equal distance from previous prime (102637577593) and next prime (102637577689).

It can be written as a sum of positive squares in only one way, i.e., 95591654041 + 7045923600 = 309179^2 + 83940^2 .

It is not a de Polignac number, because 102637577641 - 2²⁷ = 102503359913 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102637547641) 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, 73364260 + ... + 73365658.

It is an arithmetic number, because the mean of its divisors is an integer number (11462385919).

Almost surely, 2^102637577641 is an apocalyptic number.

102637577641 is the 320371-st square number.

102637577641 is the 160186-th centered octagonal number.

It is an amenable number.

102637577641 is a deficient number, since it is larger than the sum of its proper divisors (523895630).

102637577641 is an frugal number, since it uses more digits than its factorization.

102637577641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3256 (or 1628 counting only the distinct ones).

The product of its (nonzero) digits is 1481760, while the sum is 49.

Multiplying 102637577641 by its sum of digits (49), we get a square (5029241304409 = 2242597²).

The spelling of 102637577641 in words is "one hundred two billion, six hundred thirty-seven million, five hundred seventy-seven thousand, six hundred forty-one".