100100223305 has 16 divisors (see below), whose sum is σ = 121457456400. Its totient is φ = 79190065152.

The previous prime is 100100223239. The next prime is 100100223319. The reversal of 100100223305 is 503322001001.

It can be written as a sum of positive squares in 8 ways, for example, as 383846464 + 99716376841 = 19592^2 + 315779^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100100223305 is a prime.

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 15 ways as a sum of consecutive naturals, for example, 516521 + ... + 683369.

It is an arithmetic number, because the mean of its divisors is an integer number (7591091025).

Almost surely, 2^100100223305 is an apocalyptic number.

It is an amenable number.

100100223305 is a deficient number, since it is larger than the sum of its proper divisors (21357233095).

100100223305 is a wasteful number, since it uses less digits than its factorization.

100100223305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168188.

The product of its (nonzero) digits is 180, while the sum is 17.

Adding to 100100223305 its reverse (503322001001), we get a palindrome (603422224306).

The spelling of 100100223305 in words is "one hundred billion, one hundred million, two hundred twenty-three thousand, three hundred five".