102984320 has 64 divisors (see below), whose sum is σ = 252909000. Its totient is φ = 40071168.

The previous prime is 102984319. The next prime is 102984331. The reversal of 102984320 is 23489201.

It can be written as a sum of positive squares in 4 ways, for example, as 74511424 + 28472896 = 8632^2 + 5336^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21506 + ... + 25854.

Almost surely, 2^102984320 is an apocalyptic number.

102984320 is a gapful number since it is divisible by the number (10) 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 102984320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126454500).

102984320 is an abundant number, since it is smaller than the sum of its proper divisors (149924680).

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

102984320 is an equidigital number, since it uses as much as digits as its factorization.

102984320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4405 (or 4393 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

The square root of 102984320 is about 10148.1190375360. The cubic root of 102984320 is about 468.7310269061.

The spelling of 102984320 in words is "one hundred two million, nine hundred eighty-four thousand, three hundred twenty".