83105280 has 120 divisors (see below), whose sum is σ = 287896752. Its totient is φ = 22155264.

The previous prime is 83105261. The next prime is 83105291. The reversal of 83105280 is 8250138.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21237 + ... + 24843.

Almost surely, 2^83105280 is an apocalyptic number.

83105280 is a gapful number since it is divisible by the number (80) 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 83105280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143948376).

83105280 is an abundant number, since it is smaller than the sum of its proper divisors (204791472).

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

83105280 is a wasteful number, since it uses less digits than its factorization.

83105280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3636 (or 3617 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 83105280 is about 9116.2097387017. The cubic root of 83105280 is about 436.3914224731.

The spelling of 83105280 in words is "eighty-three million, one hundred five thousand, two hundred eighty".