102126584788 has 96 divisors (see below), whose sum is σ = 200453732640. Its totient is φ = 45301186560.

The previous prime is 102126584743. The next prime is 102126584789. The reversal of 102126584788 is 887485621201.

It can be written as a sum of positive squares in 16 ways, for example, as 27429321924 + 74697262864 = 165618^2 + 273308^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102126584789) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16476906 + ... + 16483102.

It is an arithmetic number, because the mean of its divisors is an integer number (2088059715).

Almost surely, 2^102126584788 is an apocalyptic number.

It is an amenable number.

102126584788 is a deficient number, since it is larger than the sum of its proper divisors (98327147852).

102126584788 is a wasteful number, since it uses less digits than its factorization.

102126584788 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6445 (or 6443 counting only the distinct ones).

The product of its (nonzero) digits is 1720320, while the sum is 52.

The spelling of 102126584788 in words is "one hundred two billion, one hundred twenty-six million, five hundred eighty-four thousand, seven hundred eighty-eight".