102280320 has 160 divisors (see below), whose sum is σ = 365446620. Its totient is φ = 27260928.

The previous prime is 102280291. The next prime is 102280327. The reversal of 102280320 is 23082201.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 97298496 + 4981824 = 9864^2 + 2232^2 .

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×102280320² = 20922527718604800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 102280293 and 102280302.

It is not an unprimeable number, because it can be changed into a prime (102280327) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 50854 + ... + 52826.

Almost surely, 2^102280320 is an apocalyptic number.

102280320 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 102280320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182723310).

102280320 is an abundant number, since it is smaller than the sum of its proper divisors (263166300).

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

102280320 is an equidigital number, since it uses as much as digits as its factorization.

102280320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2004 (or 1983 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 102280320 is about 10113.3733244650. The cubic root of 102280320 is about 467.6605032886.

The spelling of 102280320 in words is "one hundred two million, two hundred eighty thousand, three hundred twenty".