10211040 has 144 divisors (see below), whose sum is σ = 39862368. Its totient is φ = 2331648.

The previous prime is 10211039. The next prime is 10211053. The reversal of 10211040 is 4011201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 9574 + ... + 10586.

It is an arithmetic number, because the mean of its divisors is an integer number (276822).

Almost surely, 2^10211040 is an apocalyptic number.

10211040 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 10211040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19931184).

10211040 is an abundant number, since it is smaller than the sum of its proper divisors (29651328).

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

10211040 is a wasteful number, since it uses less digits than its factorization.

10211040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1041 (or 1030 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 10211040 is about 3195.4717961515. The cubic root of 10211040 is about 216.9485037112.

Adding to 10211040 its reverse (4011201), we get a palindrome (14222241).

The spelling of 10211040 in words is "ten million, two hundred eleven thousand, forty".