105105551006 has 16 divisors (see below), whose sum is σ = 158079103200. Its totient is φ = 52412563200.

The previous prime is 105105550967. The next prime is 105105551009. The reversal of 105105551006 is 600155501501.

It is a happy number.

It is a super-2 number, since 2×105105551006² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105105551006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105105551009) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9136250 + ... + 9147746.

It is an arithmetic number, because the mean of its divisors is an integer number (9879943950).

Almost surely, 2^105105551006 is an apocalyptic number.

105105551006 is a deficient number, since it is larger than the sum of its proper divisors (52973552194).

105105551006 is a wasteful number, since it uses less digits than its factorization.

105105551006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23299.

The product of its (nonzero) digits is 3750, while the sum is 29.

The spelling of 105105551006 in words is "one hundred five billion, one hundred five million, five hundred fifty-one thousand, six".