100505605601 has 8 divisors (see below), whose sum is σ = 101278800744. Its totient is φ = 99734094720.

The previous prime is 100505605589. The next prime is 100505605621. The reversal of 100505605601 is 106506505001.

It can be written as a sum of positive squares in 4 ways, for example, as 8332038400 + 92173567201 = 91280^2 + 303601^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100505605601 - 2⁶ = 100505605537 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100505605621) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 301130 + ... + 540083.

It is an arithmetic number, because the mean of its divisors is an integer number (12659850093).

Almost surely, 2^100505605601 is an apocalyptic number.

It is an amenable number.

100505605601 is a deficient number, since it is larger than the sum of its proper divisors (773195143).

100505605601 is an equidigital number, since it uses as much as digits as its factorization.

100505605601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 842131.

The product of its (nonzero) digits is 4500, while the sum is 29.

The spelling of 100505605601 in words is "one hundred billion, five hundred five million, six hundred five thousand, six hundred one".