10853010 has 144 divisors (see below), whose sum is σ = 34572096. Its totient is φ = 2350656.

The previous prime is 10852999. The next prime is 10853023. The reversal of 10853010 is 1035801.

It is a happy number.

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

It is a Curzon number.

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 71 ways as a sum of consecutive naturals, for example, 101377 + ... + 101483.

It is an arithmetic number, because the mean of its divisors is an integer number (240084).

Almost surely, 2^10853010 is an apocalyptic number.

10853010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10853010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17286048).

10853010 is an abundant number, since it is smaller than the sum of its proper divisors (23719086).

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

10853010 is a wasteful number, since it uses less digits than its factorization.

10853010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 147 counting only the distinct ones).

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

The square root of 10853010 is about 3294.3906872136. The cubic root of 10853010 is about 221.4029489207.

Adding to 10853010 its reverse (1035801), we get a palindrome (11888811).

It can be divided in two parts, 1085 and 3010, that added together give a triangular number (4095 = T₉₀).

The spelling of 10853010 in words is "ten million, eight hundred fifty-three thousand, ten".