10851000 has 64 divisors (see below), whose sum is σ = 33864480. Its totient is φ = 2892800.

The previous prime is 10850999. The next prime is 10851041. The reversal of 10851000 is 15801.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

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, 1192 + ... + 4808.

Almost surely, 2^10851000 is an apocalyptic number.

10851000 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 10851000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16932240).

10851000 is an abundant number, since it is smaller than the sum of its proper divisors (23013480).

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

10851000 is a wasteful number, since it uses less digits than its factorization.

10851000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3641 (or 3627 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 15.

The square root of 10851000 is about 3294.0856090879. The cubic root of 10851000 is about 221.3892799814.

Adding to 10851000 its reverse (15801), we get a palindrome (10866801).

The spelling of 10851000 in words is "ten million, eight hundred fifty-one thousand".