105010600506006 has 32 divisors (see below), whose sum is σ = 226178522545248. Its totient is φ = 32310690497280.

The previous prime is 105010600505981. The next prime is 105010600506029. The reversal of 105010600506006 is 600605006010501.

It is a super-2 number, since 2×105010600506006² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4245970 + ... + 15101306.

It is an arithmetic number, because the mean of its divisors is an integer number (7068078829539).

Almost surely, 2^{105010600506006} is an apocalyptic number.

105010600506006 is an abundant number, since it is smaller than the sum of its proper divisors (121167922039242).

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

105010600506006 is a wasteful number, since it uses less digits than its factorization.

105010600506006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10979376.

The product of its (nonzero) digits is 5400, while the sum is 30.

Adding to 105010600506006 its reverse (600605006010501), we get a palindrome (705615606516507).

The spelling of 105010600506006 in words is "one hundred five trillion, ten billion, six hundred million, five hundred six thousand, six".