10106005 has 48 divisors (see below), whose sum is σ = 16087680. Its totient is φ = 6023808.

The previous prime is 10105961. The next prime is 10106017. The reversal of 10106005 is 50060101.

It is not a de Polignac number, because 10106005 - 2¹¹ = 10103957 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 60432 + ... + 60598.

It is an arithmetic number, because the mean of its divisors is an integer number (335160).

Almost surely, 2^10106005 is an apocalyptic number.

It is an amenable number.

10106005 is a deficient number, since it is larger than the sum of its proper divisors (5981675).

10106005 is a wasteful number, since it uses less digits than its factorization.

10106005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 13.

The square root of 10106005 is about 3178.9943378370. The cubic root of 10106005 is about 216.2020642856.

Adding to 10106005 its reverse (50060101), we get a palindrome (60166106).

The spelling of 10106005 in words is "ten million, one hundred six thousand, five".