10509084 has 36 divisors (see below), whose sum is σ = 26967304. Its totient is φ = 3449952.

The previous prime is 10509029. The next prime is 10509097. The reversal of 10509084 is 48090501.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×10509084² = 220881693038112, which contains 22 as substring.

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, 234 + ... + 4590.

Almost surely, 2^10509084 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 10509084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13483652).

10509084 is an abundant number, since it is smaller than the sum of its proper divisors (16458220).

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

10509084 is a wasteful number, since it uses less digits than its factorization.

10509084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4434 (or 4429 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 10509084 is about 3241.7717378002. The cubic root of 10509084 is about 219.0390872873.

Adding to 10509084 its reverse (48090501), we get a palindrome (58599585).

The spelling of 10509084 in words is "ten million, five hundred nine thousand, eighty-four".