102066504 has 64 divisors (see below), whose sum is σ = 273067200. Its totient is φ = 31678464.

The previous prime is 102066491. The next prime is 102066529. The reversal of 102066504 is 405660201.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38287 + ... + 40865.

It is an arithmetic number, because the mean of its divisors is an integer number (4266675).

Almost surely, 2^102066504 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 102066504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136533600).

102066504 is an abundant number, since it is smaller than the sum of its proper divisors (171000696).

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

102066504 is a wasteful number, since it uses less digits than its factorization.

102066504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2702 (or 2698 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 102066504 is about 10102.7968404794. The cubic root of 102066504 is about 467.3343960520.

The spelling of 102066504 in words is "one hundred two million, sixty-six thousand, five hundred four".