102785280 has 288 divisors, whose sum is σ = 370863360. Its totient is φ = 24084480.

The previous prime is 102785273. The next prime is 102785339. The reversal of 102785280 is 82587201.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1447645 + ... + 1447715.

It is an arithmetic number, because the mean of its divisors is an integer number (1287720).

Almost surely, 2^102785280 is an apocalyptic number.

102785280 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 102785280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185431680).

102785280 is an abundant number, since it is smaller than the sum of its proper divisors (268078080).

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

102785280 is a wasteful number, since it uses less digits than its factorization.

102785280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 33.

The square root of 102785280 is about 10138.3075510659. The cubic root of 102785280 is about 468.4288566553.

The spelling of 102785280 in words is "one hundred two million, seven hundred eighty-five thousand, two hundred eighty".