100001106 has 96 divisors (see below), whose sum is σ = 242611200. Its totient is φ = 29621760.

The previous prime is 100001087. The next prime is 100001107. The reversal of 100001106 is 601100001.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (100001107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 523471 + ... + 523661.

It is an arithmetic number, because the mean of its divisors is an integer number (2527200).

Almost surely, 2^100001106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100001106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121305600).

100001106 is an abundant number, since it is smaller than the sum of its proper divisors (142610094).

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

100001106 is a wasteful number, since it uses less digits than its factorization.

100001106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 301 counting only the distinct ones).

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

The square root of 100001106 is about 10000.0552998471. The cubic root of 100001106 is about 464.1605945541.

Adding to 100001106 its reverse (601100001), we get a palindrome (701101107).

The spelling of 100001106 in words is "one hundred million, one thousand, one hundred six".