10509345 has 80 divisors (see below), whose sum is σ = 23557248. Its totient is φ = 4354560.

The previous prime is 10509313. The next prime is 10509371. The reversal of 10509345 is 54390501.

It is not a de Polignac number, because 10509345 - 2⁵ = 10509313 is a prime.

It is a super-2 number, since 2×10509345² = 220892664658050, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 31017 + ... + 31353.

Almost surely, 2^10509345 is an apocalyptic number.

10509345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10509345 is an abundant number, since it is smaller than the sum of its proper divisors (13047903).

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

10509345 is a wasteful number, since it uses less digits than its factorization.

10509345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 10509345 is about 3241.8119933148. The cubic root of 10509345 is about 219.0409005988.

Adding to 10509345 its reverse (54390501), we get a palindrome (64899846).

The spelling of 10509345 in words is "ten million, five hundred nine thousand, three hundred forty-five".