105105100506 has 32 divisors (see below), whose sum is σ = 240364699008. Its totient is φ = 30014470080.

The previous prime is 105105100501. The next prime is 105105100511. The reversal of 105105100506 is 605001501501.

105105100506 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (105105100501) and next prime (105105100511).

It is a super-2 number, since 2×105105100506² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105105100501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 566125 + ... + 728496.

It is an arithmetic number, because the mean of its divisors is an integer number (7511396844).

Almost surely, 2^105105100506 is an apocalyptic number.

105105100506 is an abundant number, since it is smaller than the sum of its proper divisors (135259598502).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105105100506 is a wasteful number, since it uses less digits than its factorization.

105105100506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1296566.

The product of its (nonzero) digits is 750, while the sum is 24.

The spelling of 105105100506 in words is "one hundred five billion, one hundred five million, one hundred thousand, five hundred six".