102769391088 has 640 divisors, whose sum is σ = 382642176000. Its totient is φ = 26214451200.

The previous prime is 102769391069. The next prime is 102769391141. The reversal of 102769391088 is 880193967201.

102769391088 is a `hidden beast` number, since 102 + 76 + 9 + 391 + 0 + 88 = 666.

102769391088 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 59714068 + ... + 59715788.

It is an arithmetic number, because the mean of its divisors is an integer number (597878400).

Almost surely, 2^102769391088 is an apocalyptic number.

102769391088 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 102769391088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191321088000).

102769391088 is an abundant number, since it is smaller than the sum of its proper divisors (279872784912).

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

102769391088 is a wasteful number, since it uses less digits than its factorization.

102769391088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1803 (or 1777 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 54.

The spelling of 102769391088 in words is "one hundred two billion, seven hundred sixty-nine million, three hundred ninety-one thousand, eighty-eight".