10106811 has 24 divisors (see below), whose sum is σ = 17153136. Its totient is φ = 5653440.

The previous prime is 10106801. The next prime is 10106839. The reversal of 10106811 is 11860101.

It is not a de Polignac number, because 10106811 - 2¹⁹ = 9582523 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10106801) 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, 2640 + ... + 5213.

It is an arithmetic number, because the mean of its divisors is an integer number (714714).

Almost surely, 2^10106811 is an apocalyptic number.

10106811 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10106811 is a deficient number, since it is larger than the sum of its proper divisors (7046325).

10106811 is a wasteful number, since it uses less digits than its factorization.

10106811 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7883 (or 7880 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

The square root of 10106811 is about 3179.1211049597. The cubic root of 10106811 is about 216.2078118331.

Adding to 10106811 its reverse (11860101), we get a palindrome (21966912).

The spelling of 10106811 in words is "ten million, one hundred six thousand, eight hundred eleven".