10835121 has 16 divisors (see below), whose sum is σ = 15825600. Its totient is φ = 6539520.

The previous prime is 10835113. The next prime is 10835147. The reversal of 10835121 is 12153801.

It is not a de Polignac number, because 10835121 - 2³ = 10835113 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10835101) 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 15 ways as a sum of consecutive naturals, for example, 9805 + ... + 10853.

It is an arithmetic number, because the mean of its divisors is an integer number (989100).

Almost surely, 2^10835121 is an apocalyptic number.

10835121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10835121 is a deficient number, since it is larger than the sum of its proper divisors (4990479).

10835121 is a wasteful number, since it uses less digits than its factorization.

10835121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1376.

The product of its (nonzero) digits is 240, while the sum is 21.

The square root of 10835121 is about 3291.6744978810. The cubic root of 10835121 is about 221.2812359742.

Adding to 10835121 its reverse (12153801), we get a palindrome (22988922).

The spelling of 10835121 in words is "ten million, eight hundred thirty-five thousand, one hundred twenty-one".