10105821 has 12 divisors (see below), whose sum is σ = 15924480. Its totient is φ = 6124680.

The previous prime is 10105819. The next prime is 10105841. The reversal of 10105821 is 12850101.

It is not a de Polignac number, because 10105821 - 2¹ = 10105819 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10105794 and 10105803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10105801) 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, 50941 + ... + 51138.

It is an arithmetic number, because the mean of its divisors is an integer number (1327040).

Almost surely, 2^10105821 is an apocalyptic number.

10105821 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10105821 is a deficient number, since it is larger than the sum of its proper divisors (5818659).

10105821 is a wasteful number, since it uses less digits than its factorization.

10105821 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102096 (or 102093 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 18.

The square root of 10105821 is about 3178.9653977356. The cubic root of 10105821 is about 216.2007521475.

Adding to 10105821 its reverse (12850101), we get a palindrome (22955922).

The spelling of 10105821 in words is "ten million, one hundred five thousand, eight hundred twenty-one".