102782844 has 60 divisors (see below), whose sum is σ = 277985400. Its totient is φ = 33076512.

The previous prime is 102782821. The next prime is 102782861. The reversal of 102782844 is 448287201.

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

It is a junction number, because it is equal to n+sod(n) for n = 102782799 and 102782808.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3927 + ... + 14865.

It is an arithmetic number, because the mean of its divisors is an integer number (4633090).

Almost surely, 2^102782844 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 102782844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138992700).

102782844 is an abundant number, since it is smaller than the sum of its proper divisors (175202556).

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

102782844 is a wasteful number, since it uses less digits than its factorization.

102782844 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10984 (or 10973 counting only the distinct ones).

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

The square root of 102782844 is about 10138.1874119588. The cubic root of 102782844 is about 468.4251560550.

The spelling of 102782844 in words is "one hundred two million, seven hundred eighty-two thousand, eight hundred forty-four".