10211080 has 64 divisors (see below), whose sum is σ = 26179200. Its totient is φ = 3548160.

The previous prime is 10211077. The next prime is 10211083. The reversal of 10211080 is 8011201.

10211080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10211077) and next prime (10211083).

It is a self number, because there is not a number n which added to its sum of digits gives 10211080.

It is not an unprimeable number, because it can be changed into a prime (10211083) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9616 + ... + 10624.

It is an arithmetic number, because the mean of its divisors is an integer number (409050).

Almost surely, 2^10211080 is an apocalyptic number.

10211080 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 10211080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13089600).

10211080 is an abundant number, since it is smaller than the sum of its proper divisors (15968120).

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

10211080 is a wasteful number, since it uses less digits than its factorization.

10211080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1054 (or 1050 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

The square root of 10211080 is about 3195.4780550021. The cubic root of 10211080 is about 216.9487869970.

Adding to 10211080 its reverse (8011201), we get a palindrome (18222281).

The spelling of 10211080 in words is "ten million, two hundred eleven thousand, eighty".