102825384 has 64 divisors (see below), whose sum is σ = 278562240. Its totient is φ = 31503360.

The previous prime is 102825383. The next prime is 102825409. The reversal of 102825384 is 483528201.

It is not an unprimeable number, because it can be changed into a prime (102825383) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 14614 + ... + 20474.

It is an arithmetic number, because the mean of its divisors is an integer number (4352535).

Almost surely, 2^102825384 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 102825384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139281120).

102825384 is an abundant number, since it is smaller than the sum of its proper divisors (175736856).

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

102825384 is a wasteful number, since it uses less digits than its factorization.

102825384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5930 (or 5926 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 102825384 is about 10140.2852030897. The cubic root of 102825384 is about 468.4897714353.

The spelling of 102825384 in words is "one hundred two million, eight hundred twenty-five thousand, three hundred eighty-four".