10535000 has 120 divisors (see below), whose sum is σ = 29381220. Its totient is φ = 3528000.

The previous prime is 10534999. The next prime is 10535011. The reversal of 10535000 is 53501.

It is a super-2 number, since 2×10535000² = 221972450000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 244979 + ... + 245021.

Almost surely, 2^10535000 is an apocalyptic number.

10535000 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 10535000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14690610).

10535000 is an abundant number, since it is smaller than the sum of its proper divisors (18846220).

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

10535000 is an equidigital number, since it uses as much as digits as its factorization.

10535000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 75, while the sum is 14.

The square root of 10535000 is about 3245.7664734235. The cubic root of 10535000 is about 219.2189937721.

Adding to 10535000 its reverse (53501), we get a palindrome (10588501).

The spelling of 10535000 in words is "ten million, five hundred thirty-five thousand".