100442661205 has 16 divisors (see below), whose sum is σ = 123571753200. Its totient is φ = 78330288640.

The previous prime is 100442661191. The next prime is 100442661251. The reversal of 100442661205 is 502166244001.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 1304582161 + 99138079044 = 36119^2 + 314862^2 .

It is not a de Polignac number, because 100442661205 - 2⁵ = 100442661173 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52611 + ... + 451279.

It is an arithmetic number, because the mean of its divisors is an integer number (7723234575).

Almost surely, 2^100442661205 is an apocalyptic number.

It is an amenable number.

100442661205 is a deficient number, since it is larger than the sum of its proper divisors (23129091995).

100442661205 is a wasteful number, since it uses less digits than its factorization.

100442661205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399944.

The product of its (nonzero) digits is 11520, while the sum is 31.

The spelling of 100442661205 in words is "one hundred billion, four hundred forty-two million, six hundred sixty-one thousand, two hundred five".