102842784 has 120 divisors (see below), whose sum is σ = 330045408. Its totient is φ = 31155840.

The previous prime is 102842771. The next prime is 102842833. The reversal of 102842784 is 487248201.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 26709 + ... + 30315.

Almost surely, 2^102842784 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 102842784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165022704).

102842784 is an abundant number, since it is smaller than the sum of its proper divisors (227202624).

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

102842784 is a wasteful number, since it uses less digits than its factorization.

102842784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3640 (or 3623 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The square root of 102842784 is about 10141.1431308310. The cubic root of 102842784 is about 468.5161957219.

The spelling of 102842784 in words is "one hundred two million, eight hundred forty-two thousand, seven hundred eighty-four".