100001000106 has 24 divisors (see below), whose sum is σ = 247621524384. Its totient is φ = 28571714280.

The previous prime is 100001000083. The next prime is 100001000117. The reversal of 100001000106 is 601000100001.

It is a super-2 number, since 2×100001000106² (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 396829240 + ... + 396829491.

It is an arithmetic number, because the mean of its divisors is an integer number (10317563516).

Almost surely, 2^100001000106 is an apocalyptic number.

100001000106 is an abundant number, since it is smaller than the sum of its proper divisors (147620524278).

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

100001000106 is a wasteful number, since it uses less digits than its factorization.

100001000106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 793658746 (or 793658743 counting only the distinct ones).

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

Adding to 100001000106 its reverse (601000100001), we get a palindrome (701001100107).

The spelling of 100001000106 in words is "one hundred billion, one million, one hundred six", and thus it is an aban number.