10100106 has 32 divisors (see below), whose sum is σ = 22550400. Its totient is φ = 3350880.

The previous prime is 10100099. The next prime is 10100107. The reversal of 10100106 is 60100101.

It is a super-2 number, since 2×10100106² = 204024282422472, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (10100107) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 19126 + ... + 19646.

It is an arithmetic number, because the mean of its divisors is an integer number (704700).

Almost surely, 2^10100106 is an apocalyptic number.

10100106 is an abundant number, since it is smaller than the sum of its proper divisors (12450294).

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

10100106 is a wasteful number, since it uses less digits than its factorization.

10100106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 891 (or 885 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 10100106 is about 3178.0663932649. The cubic root of 10100106 is about 216.1599894925.

Adding to 10100106 its reverse (60100101), we get a palindrome (70200207).

The spelling of 10100106 in words is "ten million, one hundred thousand, one hundred six".