100506106110105 has 12 divisors (see below), whose sum is σ = 174210583924260. Its totient is φ = 53603256592032.

The previous prime is 100506106109971. The next prime is 100506106110139. The reversal of 100506106110105 is 501011601605001.

It can be written as a sum of positive squares in 2 ways, for example, as 41465769329664 + 59040336780441 = 6439392^2 + 7683771^2 .

It is not a de Polignac number, because 100506106110105 - 2⁹ = 100506106109593 is a prime.

It is a super-2 number, since 2×100506106110105² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1116734512290 + ... + 1116734512379.

It is an arithmetic number, because the mean of its divisors is an integer number (14517548660355).

Almost surely, 2^{100506106110105} is an apocalyptic number.

100506106110105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

100506106110105 is a deficient number, since it is larger than the sum of its proper divisors (73704477814155).

100506106110105 is a wasteful number, since it uses less digits than its factorization.

100506106110105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2233469024680 (or 2233469024677 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 27.

Adding to 100506106110105 its reverse (501011601605001), we get a palindrome (601517707715106).

The spelling of 100506106110105 in words is "one hundred trillion, five hundred six billion, one hundred six million, one hundred ten thousand, one hundred five".