106118685277345 has 8 divisors (see below), whose sum is σ = 137137993281576. Its totient is φ = 78364567589376.

The previous prime is 106118685277277. The next prime is 106118685277387. The reversal of 106118685277345 is 543772586811601.

It can be written as a sum of positive squares in 4 ways, for example, as 872342924049 + 105246342353296 = 933993^2 + 10258964^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 106118685277345 - 2²⁹ = 106118148406433 is a prime.

It is a super-2 number, since 2×106118685277345² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 816297578992 + ... + 816297579121.

It is an arithmetic number, because the mean of its divisors is an integer number (17142249160197).

Almost surely, 2^{106118685277345} is an apocalyptic number.

It is an amenable number.

106118685277345 is a deficient number, since it is larger than the sum of its proper divisors (31019308004231).

106118685277345 is a wasteful number, since it uses less digits than its factorization.

106118685277345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1632595158131.

The product of its (nonzero) digits is 67737600, while the sum is 64.

The spelling of 106118685277345 in words is "one hundred six trillion, one hundred eighteen billion, six hundred eighty-five million, two hundred seventy-seven thousand, three hundred forty-five".