10842210 has 48 divisors (see below), whose sum is σ = 28734264. Its totient is φ = 2835456.

The previous prime is 10842199. The next prime is 10842211. The reversal of 10842210 is 1224801.

It can be written as a sum of positive squares in 4 ways, for example, as 10673289 + 168921 = 3267^2 + 411^2 .

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 (10842211) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3634 + ... + 5906.

Almost surely, 2^10842210 is an apocalyptic number.

10842210 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 10842210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14367132).

10842210 is an abundant number, since it is smaller than the sum of its proper divisors (17892054).

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

10842210 is a wasteful number, since it uses less digits than its factorization.

10842210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2339 (or 2336 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 10842210 is about 3292.7511293749. The cubic root of 10842210 is about 221.3294840341.

The spelling of 10842210 in words is "ten million, eight hundred forty-two thousand, two hundred ten".