106046314216417 has 2 divisors, whose sum is σ = 106046314216418. Its totient is φ = 106046314216416.

The previous prime is 106046314216387. The next prime is 106046314216441. The reversal of 106046314216417 is 714612413640601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 97335410588641 + 8710903627776 = 9865871^2 + 2951424^2 .

It is a cyclic number.

It is not a de Polignac number, because 106046314216417 - 2³⁵ = 106011954478049 is a prime.

It is a super-2 number, since 2×106046314216417² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (106046314216487) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53023157108208 + 53023157108209.

It is an arithmetic number, because the mean of its divisors is an integer number (53023157108209).

Almost surely, 2^{106046314216417} is an apocalyptic number.

It is an amenable number.

106046314216417 is a deficient number, since it is larger than the sum of its proper divisors (1).

106046314216417 is an equidigital number, since it uses as much as digits as its factorization.

106046314216417 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 580608, while the sum is 46.

The spelling of 106046314216417 in words is "one hundred six trillion, forty-six billion, three hundred fourteen million, two hundred sixteen thousand, four hundred seventeen".