100105500505 has 16 divisors (see below), whose sum is σ = 121537155600. Its totient is φ = 79148095488.

The previous prime is 100105500503. The next prime is 100105500589. The reversal of 100105500505 is 505005501001.

It can be written as a sum of positive squares in 8 ways, for example, as 630863689 + 99474636816 = 25117^2 + 315396^2 .

It is a cyclic number.

It is not a de Polignac number, because 100105500505 - 2¹ = 100105500503 is a prime.

It is a super-2 number, since 2×100105500505² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100105500503) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56652 + ... + 451021.

It is an arithmetic number, because the mean of its divisors is an integer number (7596072225).

Almost surely, 2^100105500505 is an apocalyptic number.

It is an amenable number.

100105500505 is a deficient number, since it is larger than the sum of its proper divisors (21431655095).

100105500505 is a wasteful number, since it uses less digits than its factorization.

100105500505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 508140.

The product of its (nonzero) digits is 625, while the sum is 22.

The spelling of 100105500505 in words is "one hundred billion, one hundred five million, five hundred thousand, five hundred five".