102881257440 has 384 divisors, whose sum is σ = 364043538432. Its totient is φ = 24250613760.

The previous prime is 102881257439. The next prime is 102881257487. The reversal of 102881257440 is 44752188201.

102881257440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 102881257392 and 102881257401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18760939 + ... + 18766421.

It is an arithmetic number, because the mean of its divisors is an integer number (948030048).

Almost surely, 2^102881257440 is an apocalyptic number.

102881257440 is a gapful number since it is divisible by the number (10) 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 102881257440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182021769216).

102881257440 is an abundant number, since it is smaller than the sum of its proper divisors (261162280992).

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

102881257440 is a wasteful number, since it uses less digits than its factorization.

102881257440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5642 (or 5634 counting only the distinct ones).

The product of its (nonzero) digits is 143360, while the sum is 42.

The spelling of 102881257440 in words is "one hundred two billion, eight hundred eighty-one million, two hundred fifty-seven thousand, four hundred forty".