106775312337 has 6 divisors (see below), whose sum is σ = 154231006722. Its totient is φ = 71183541552.

The previous prime is 106775312321. The next prime is 106775312341. The reversal of 106775312337 is 733213577601.

106775312337 is a `hidden beast` number, since 1 + 0 + 67 + 7 + 531 + 23 + 37 = 666.

It can be written as a sum of positive squares in only one way, i.e., 93880347201 + 12894965136 = 306399^2 + 113556^2 .

It is not a de Polignac number, because 106775312337 - 2⁴ = 106775312321 is a prime.

It is a super-2 number, since 2×106775312337² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106775312292 and 106775312301.

It is not an unprimeable number, because it can be changed into a prime (106775312317) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5931961788 + ... + 5931961805.

It is an arithmetic number, because the mean of its divisors is an integer number (25705167787).

Almost surely, 2^106775312337 is an apocalyptic number.

It is an amenable number.

106775312337 is a deficient number, since it is larger than the sum of its proper divisors (47455694385).

106775312337 is a wasteful number, since it uses less digits than its factorization.

106775312337 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11863923599 (or 11863923596 counting only the distinct ones).

The product of its (nonzero) digits is 555660, while the sum is 45.

Adding to 106775312337 its reverse (733213577601), we get a palindrome (839988889938).

The spelling of 106775312337 in words is "one hundred six billion, seven hundred seventy-five million, three hundred twelve thousand, three hundred thirty-seven".