106161205005 has 24 divisors (see below), whose sum is σ = 194837036472. Its totient is φ = 53288761344.

The previous prime is 106161204997. The next prime is 106161205057. The reversal of 106161205005 is 500502161601.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 36843266916 + 69317938089 = 191946^2 + 263283^2 .

It is not a de Polignac number, because 106161205005 - 2³ = 106161204997 is a prime.

It is a super-2 number, since 2×106161205005² (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 106161205005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 69385644 + ... + 69387173.

It is an arithmetic number, because the mean of its divisors is an integer number (8118209853).

Almost surely, 2^106161205005 is an apocalyptic number.

106161205005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

106161205005 is a deficient number, since it is larger than the sum of its proper divisors (88675831467).

106161205005 is a wasteful number, since it uses less digits than its factorization.

106161205005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138772845 (or 138772842 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

Adding to 106161205005 its reverse (500502161601), we get a palindrome (606663366606).

The spelling of 106161205005 in words is "one hundred six billion, one hundred sixty-one million, two hundred five thousand, five".