10509500 has 24 divisors (see below), whose sum is σ = 22953840. Its totient is φ = 4203600.

The previous prime is 10509487. The next prime is 10509503. The reversal of 10509500 is 590501.

It is a super-2 number, since 2×10509500² = 220899180500000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (20) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10509503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10010 + ... + 11009.

It is an arithmetic number, because the mean of its divisors is an integer number (956410).

Almost surely, 2^10509500 is an apocalyptic number.

10509500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10509500 is an abundant number, since it is smaller than the sum of its proper divisors (12444340).

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

10509500 is a wasteful number, since it uses less digits than its factorization.

10509500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21038 (or 21026 counting only the distinct ones).

The product of its (nonzero) digits is 225, while the sum is 20.

The square root of 10509500 is about 3241.8358996100. The cubic root of 10509500 is about 219.0419774554.

The spelling of 10509500 in words is "ten million, five hundred nine thousand, five hundred".