102066804 has 108 divisors (see below), whose sum is σ = 311385984. Its totient is φ = 29148336.

The previous prime is 102066763. The next prime is 102066823. The reversal of 102066804 is 408660201.

It is a tau number, because it is divible by the number of its divisors (108).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 35 ways as a sum of consecutive naturals, for example, 46557 + ... + 48699.

Almost surely, 2^102066804 is an apocalyptic number.

102066804 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102066804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155692992).

102066804 is an abundant number, since it is smaller than the sum of its proper divisors (209319180).

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

102066804 is a wasteful number, since it uses less digits than its factorization.

102066804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2176 (or 2155 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 102066804 is about 10102.8116878422. The cubic root of 102066804 is about 467.3348539240.

The spelling of 102066804 in words is "one hundred two million, sixty-six thousand, eight hundred four".