105111100506 has 8 divisors (see below), whose sum is σ = 210222201024. Its totient is φ = 35037033500.

The previous prime is 105111100469. The next prime is 105111100517. The reversal of 105111100506 is 605001111501.

It is a happy number.

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

105111100506 is an admirable number.

It is a super-2 number, since 2×105111100506² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 8759258370 + ... + 8759258381.

It is an arithmetic number, because the mean of its divisors is an integer number (26277775128).

Almost surely, 2^105111100506 is an apocalyptic number.

105111100506 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

105111100506 is a wasteful number, since it uses less digits than its factorization.

105111100506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17518516756.

The product of its (nonzero) digits is 150, while the sum is 21.

The spelling of 105111100506 in words is "one hundred five billion, one hundred eleven million, one hundred thousand, five hundred six".