10508000 has 96 divisors (see below), whose sum is σ = 26889408. Its totient is φ = 4032000.

The previous prime is 10507993. The next prime is 10508009. The reversal of 10508000 is 80501.

It is a super-2 number, since 2×10508000² = 220836128000000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10508009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 147965 + ... + 148035.

It is an arithmetic number, because the mean of its divisors is an integer number (280098).

Almost surely, 2^10508000 is an apocalyptic number.

10508000 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 10508000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13444704).

10508000 is an abundant number, since it is smaller than the sum of its proper divisors (16381408).

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

10508000 is an equidigital number, since it uses as much as digits as its factorization.

10508000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 14.

The square root of 10508000 is about 3241.6045409642. The cubic root of 10508000 is about 219.0315558179.

Adding to 10508000 its reverse (80501), we get a palindrome (10588501).

The spelling of 10508000 in words is "ten million, five hundred eight thousand".