10935000 has 160 divisors (see below), whose sum is σ = 38425200. Its totient is φ = 2916000.

The previous prime is 10934977. The next prime is 10935031. The reversal of 10935000 is 53901.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 15.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2186998 + ... + 2187002.

Almost surely, 2^10935000 is an apocalyptic number.

10935000 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 10935000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19212600).

10935000 is an abundant number, since it is smaller than the sum of its proper divisors (27490200).

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

10935000 is an frugal number, since it uses more digits than its factorization.

10935000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 135, while the sum is 18.

The square root of 10935000 is about 3306.8111527573. The cubic root of 10935000 is about 221.9590866897.

Adding to 10935000 its reverse (53901), we get a palindrome (10988901).

The spelling of 10935000 in words is "ten million, nine hundred thirty-five thousand".