100051106000 has 80 divisors (see below), whose sum is σ = 241996477008. Its totient is φ = 40008384000.

The previous prime is 100051105981. The next prime is 100051106003. The reversal of 100051106000 is 601150001.

It can be written as a sum of positive squares in 8 ways, for example, as 58965437584 + 41085668416 = 242828^2 + 202696^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100051106003) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 9860930 + ... + 9871070.

Almost surely, 2^100051106000 is an apocalyptic number.

100051106000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100051106000 is an abundant number, since it is smaller than the sum of its proper divisors (141945371008).

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

100051106000 is a wasteful number, since it uses less digits than its factorization.

100051106000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15097 (or 15081 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 14.

Adding to 100051106000 its reverse (601150001), we get a palindrome (100652256001).

The spelling of 100051106000 in words is "one hundred billion, fifty-one million, one hundred six thousand".