10010891 has 12 divisors (see below), whose sum is σ = 11530584. Its totient is φ = 8618400.

The previous prime is 10010881. The next prime is 10010941. The reversal of 10010891 is 19801001.

10010891 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10010891 - 2⁶ = 10010827 is a prime.

It is a super-3 number, since 3×10010891³ (a number of 22 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10010821) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2711 + ... + 5231.

It is an arithmetic number, because the mean of its divisors is an integer number (960882).

Almost surely, 2^10010891 is an apocalyptic number.

10010891 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10010891 is a deficient number, since it is larger than the sum of its proper divisors (1519693).

10010891 is a wasteful number, since it uses less digits than its factorization.

10010891 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2570 (or 2551 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 20.

The square root of 10010891 is about 3163.9992098608. Note that the first 3 decimals coincide. The cubic root of 10010891 is about 215.5216537871.

Adding to 10010891 its reverse (19801001), we get a palindrome (29811892).

It can be divided in two parts, 10010 and 891, that added together give a palindrome (10901).

The spelling of 10010891 in words is "ten million, ten thousand, eight hundred ninety-one".