10853100 has 108 divisors (see below), whose sum is σ = 35206080. Its totient is φ = 2793600.

The previous prime is 10853093. The next prime is 10853107. The reversal of 10853100 is 135801.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10853093) and next prime (10853107).

It is a super-2 number, since 2×10853100² = 235579559220000, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (10853107) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 27706 + ... + 28094.

Almost surely, 2^10853100 is an apocalyptic number.

10853100 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 10853100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17603040).

10853100 is an abundant number, since it is smaller than the sum of its proper divisors (24352980).

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

10853100 is a wasteful number, since it uses less digits than its factorization.

10853100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440 (or 430 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 10853100 is about 3294.4043467674. The cubic root of 10853100 is about 221.4035609232.

Adding to 10853100 its reverse (135801), we get a palindrome (10988901).

The spelling of 10853100 in words is "ten million, eight hundred fifty-three thousand, one hundred".