102804879424 has 63 divisors (see below), whose sum is σ = 220974800493. Its totient is φ = 47433015552.

The previous prime is 102804879377. The next prime is 102804879427. The reversal of 102804879424 is 424978408201.

The square root of 102804879424 is 320632.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 15207822400 + 87597057024 = 123320^2 + 295968^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102804879427) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 33344187 + ... + 33347269.

Almost surely, 2^102804879424 is an apocalyptic number.

102804879424 is the 320632-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102804879424

102804879424 is an abundant number, since it is smaller than the sum of its proper divisors (118169921069).

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

102804879424 is an frugal number, since it uses more digits than its factorization.

102804879424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6204 (or 3098 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 49.

Multiplying 102804879424 by its sum of digits (49), we get a square (5037439091776 = 2244424²).

The spelling of 102804879424 in words is "one hundred two billion, eight hundred four million, eight hundred seventy-nine thousand, four hundred twenty-four".