102808035648 has 126 divisors (see below), whose sum is σ = 306000246266. Its totient is φ = 34269205248.

The previous prime is 102808035637. The next prime is 102808035709. The reversal of 102808035648 is 846530808201.

102808035648 is a `hidden beast` number, since 1 + 0 + 2 + 8 + 0 + 80 + 3 + 564 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 71969865984 + 30838169664 = 268272^2 + 175608^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 297486 + ... + 542322.

Almost surely, 2^102808035648 is an apocalyptic number.

102808035648 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102808035648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153000123133).

102808035648 is an abundant number, since it is smaller than the sum of its proper divisors (203192210618).

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

102808035648 is an frugal number, since it uses more digits than its factorization.

102808035648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244873 (or 244842 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 102808035648 in words is "one hundred two billion, eight hundred eight million, thirty-five thousand, six hundred forty-eight".