10509090 has 64 divisors (see below), whose sum is σ = 26956800. Its totient is φ = 2614464.

The previous prime is 10509029. The next prime is 10509097. The reversal of 10509090 is 9090501.

It is a happy number.

It is a super-2 number, since 2×10509090² = 220881945256200, which contains 22 as substring.

It is an alternating number because its digits alternate between odd and even.

10509090 is a modest number, since divided by 9090 gives 1050 as remainder.

It is a self number, because there is not a number n which added to its sum of digits gives 10509090.

It is not an unprimeable number, because it can be changed into a prime (10509097) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 58621 + ... + 58799.

It is an arithmetic number, because the mean of its divisors is an integer number (421200).

Almost surely, 2^10509090 is an apocalyptic number.

10509090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10509090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13478400).

10509090 is an abundant number, since it is smaller than the sum of its proper divisors (16447710).

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

10509090 is a wasteful number, since it uses less digits than its factorization.

10509090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311.

The product of its (nonzero) digits is 405, while the sum is 24.

The square root of 10509090 is about 3241.7726632199. The cubic root of 10509090 is about 219.0391289730.

Adding to 10509090 its reverse (9090501), we get a palindrome (19599591).

The spelling of 10509090 in words is "ten million, five hundred nine thousand, ninety".