102138176768 has 54 divisors (see below), whose sum is σ = 209537218926. Its totient is φ = 49688672256.

The previous prime is 102138176761. The next prime is 102138176771. The reversal of 102138176768 is 867671831201.

It can be written as a sum of positive squares in 3 ways, for example, as 57546252544 + 44591924224 = 239888^2 + 211168^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102138176761) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 204746 + ... + 496182.

It is an arithmetic number, because the mean of its divisors is an integer number (3880318869).

Almost surely, 2^102138176768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102138176768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104768609463).

102138176768 is an abundant number, since it is smaller than the sum of its proper divisors (107399042158).

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

102138176768 is an frugal number, since it uses more digits than its factorization.

102138176768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291527 (or 291476 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 50.

The spelling of 102138176768 in words is "one hundred two billion, one hundred thirty-eight million, one hundred seventy-six thousand, seven hundred sixty-eight".