102090816 has 63 divisors (see below), whose sum is σ = 293321613. Its totient is φ = 33949440.

The previous prime is 102090809. The next prime is 102090839. The reversal of 102090816 is 618090201.

The square root of 102090816 is 10104.

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., 484416 + 101606400 = 696^2 + 10080^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 102090816.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 242286 + ... + 242706.

Almost surely, 2^102090816 is an apocalyptic number.

102090816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

102090816 is the 10104-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102090816

102090816 is an abundant number, since it is smaller than the sum of its proper divisors (191230797).

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

102090816 is an frugal number, since it uses more digits than its factorization.

102090816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 860 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The cubic root of 102090816 is about 467.3714990891.

The spelling of 102090816 in words is "one hundred two million, ninety thousand, eight hundred sixteen".