102780089328 has 160 divisors (see below), whose sum is σ = 321366859776. Its totient is φ = 27669590784.

The previous prime is 102780089323. The next prime is 102780089329. The reversal of 102780089328 is 823980087201.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102780089323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 418525 + ... + 617027.

Almost surely, 2^102780089328 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 102780089328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160683429888).

102780089328 is an abundant number, since it is smaller than the sum of its proper divisors (218586770448).

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

102780089328 is a wasteful number, since it uses less digits than its factorization.

102780089328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198611 (or 198605 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 48.

The spelling of 102780089328 in words is "one hundred two billion, seven hundred eighty million, eighty-nine thousand, three hundred twenty-eight".