102280448 has 72 divisors (see below), whose sum is σ = 220752000. Its totient is φ = 47151104.

The previous prime is 102280447. The next prime is 102280463. The reversal of 102280448 is 844082201.

It is a super-2 number, since 2×102280448² = 20922580086161408, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a self number, because there is not a number n which added to its sum of digits gives 102280448.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102280441) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 170453 + ... + 171051.

It is an arithmetic number, because the mean of its divisors is an integer number (3066000).

Almost surely, 2^102280448 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102280448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110376000).

102280448 is an abundant number, since it is smaller than the sum of its proper divisors (118471552).

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

102280448 is an equidigital number, since it uses as much as digits as its factorization.

102280448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 667 (or 653 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 29.

The square root of 102280448 is about 10113.3796527175. The cubic root of 102280448 is about 467.6606983751.

The spelling of 102280448 in words is "one hundred two million, two hundred eighty thousand, four hundred forty-eight".