1009102080 has 432 divisors, whose sum is σ = 3892299264. Its totient is φ = 221921280.

The previous prime is 1009102051. The next prime is 1009102093. The reversal of 1009102080 is 802019001.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5832874 + ... + 5833046.

It is an arithmetic number, because the mean of its divisors is an integer number (9009952).

Almost surely, 2^1009102080 is an apocalyptic number.

1009102080 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 1009102080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1946149632).

1009102080 is an abundant number, since it is smaller than the sum of its proper divisors (2883197184).

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

1009102080 is a wasteful number, since it uses less digits than its factorization.

1009102080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 21.

The square root of 1009102080 is about 31766.3671199588. The cubic root of 1009102080 is about 1003.0248676169.

The spelling of 1009102080 in words is "one billion, nine million, one hundred two thousand, eighty".