100105611005 has 8 divisors (see below), whose sum is σ = 120308472024. Its totient is φ = 79963329600.

The previous prime is 100105610971. The next prime is 100105611013. The reversal of 100105611005 is 500116501001.

It can be written as a sum of positive squares in 4 ways, for example, as 23741262724 + 76364348281 = 154082^2 + 276341^2 .

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

It is not a de Polignac number, because 100105611005 - 2¹⁴ = 100105594621 is a prime.

It is a super-2 number, since 2×100105611005² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15141266 + ... + 15147875.

It is an arithmetic number, because the mean of its divisors is an integer number (15038559003).

Almost surely, 2^100105611005 is an apocalyptic number.

It is an amenable number.

100105611005 is a deficient number, since it is larger than the sum of its proper divisors (20202861019).

100105611005 is an equidigital number, since it uses as much as digits as its factorization.

100105611005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30289807.

The product of its (nonzero) digits is 150, while the sum is 20.

The spelling of 100105611005 in words is "one hundred billion, one hundred five million, six hundred eleven thousand, five".