100051001106 has 64 divisors (see below), whose sum is σ = 233296306176. Its totient is φ = 28013428800.

The previous prime is 100051001023. The next prime is 100051001147. The reversal of 100051001106 is 601100150001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 622251 + ... + 766353.

It is an arithmetic number, because the mean of its divisors is an integer number (3645254784).

Almost surely, 2^100051001106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100051001106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116648153088).

100051001106 is an abundant number, since it is smaller than the sum of its proper divisors (133245305070).

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

100051001106 is a wasteful number, since it uses less digits than its factorization.

100051001106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144447.

The product of its (nonzero) digits is 30, while the sum is 15.

Adding to 100051001106 its reverse (601100150001), we get a palindrome (701151151107).

The spelling of 100051001106 in words is "one hundred billion, fifty-one million, one thousand, one hundred six".