100605605101 has 8 divisors (see below), whose sum is σ = 100685537784. Its totient is φ = 100525708800.

The previous prime is 100605605099. The next prime is 100605605119. The reversal of 100605605101 is 101506506001.

It can be written as a sum of positive squares in 4 ways, for example, as 27465107076 + 73140498025 = 165726^2 + 270445^2 .

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 100605605101 - 2¹ = 100605605099 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100605608101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8106501 + ... + 8118901.

It is an arithmetic number, because the mean of its divisors is an integer number (12585692223).

Almost surely, 2^100605605101 is an apocalyptic number.

It is an amenable number.

100605605101 is a deficient number, since it is larger than the sum of its proper divisors (79932683).

100605605101 is a wasteful number, since it uses less digits than its factorization.

100605605101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18191.

The product of its (nonzero) digits is 900, while the sum is 25.

The spelling of 100605605101 in words is "one hundred billion, six hundred five million, six hundred five thousand, one hundred one".