106517220012050 has 24 divisors (see below), whose sum is σ = 199383952990116. Its totient is φ = 42335506549440.

The previous prime is 106517220012043. The next prime is 106517220012053. The reversal of 106517220012050 is 50210022715601.

It can be written as a sum of positive squares in 6 ways, for example, as 22549705314409 + 83967514697641 = 4748653^2 + 9163379^2 .

It is a super-2 number, since 2×106517220012050² (a number of 29 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 106517220011998 and 106517220012016.

It is not an unprimeable number, because it can be changed into a prime (106517220012053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6784528457 + ... + 6784544156.

Almost surely, 2^{106517220012050} is an apocalyptic number.

106517220012050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106517220012050 is a deficient number, since it is larger than the sum of its proper divisors (92866732978066).

106517220012050 is a wasteful number, since it uses less digits than its factorization.

106517220012050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13569072782 (or 13569072777 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 32.

Adding to 106517220012050 its reverse (50210022715601), we get a palindrome (156727242727651).

The spelling of 106517220012050 in words is "one hundred six trillion, five hundred seventeen billion, two hundred twenty million, twelve thousand, fifty".