102182004 has 72 divisors (see below), whose sum is σ = 267478848. Its totient is φ = 32868480.

The previous prime is 102181999. The next prime is 102182009. The reversal of 102182004 is 400281201.

It is an interprime number because it is at equal distance from previous prime (102181999) and next prime (102182009).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102182009) 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 23 ways as a sum of consecutive naturals, for example, 157609 + ... + 158255.

It is an arithmetic number, because the mean of its divisors is an integer number (3714984).

Almost surely, 2^102182004 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 102182004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133739424).

102182004 is an abundant number, since it is smaller than the sum of its proper divisors (165296844).

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

102182004 is a wasteful number, since it uses less digits than its factorization.

102182004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 805 (or 800 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 102182004 is about 10108.5114631186. The cubic root of 102182004 is about 467.5106104906.

It can be divided in two parts, 102 and 182004, that added together give a triangular number (182106 = T₆₀₃).

The spelling of 102182004 in words is "one hundred two million, one hundred eighty-two thousand, four".