107064397457 has 2 divisors, whose sum is σ = 107064397458. Its totient is φ = 107064397456.

The previous prime is 107064397403. The next prime is 107064397481. The reversal of 107064397457 is 754793460701.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 100483294081 + 6581103376 = 316991^2 + 81124^2 .

It is a cyclic number.

It is not a de Polignac number, because 107064397457 - 2¹⁸ = 107064135313 is a prime.

It is a super-2 number, since 2×107064397457² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 107064397399 and 107064397408.

It is not a weakly prime, because it can be changed into another prime (107064397157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53532198728 + 53532198729.

It is an arithmetic number, because the mean of its divisors is an integer number (53532198729).

Almost surely, 2^107064397457 is an apocalyptic number.

It is an amenable number.

107064397457 is a deficient number, since it is larger than the sum of its proper divisors (1).

107064397457 is an equidigital number, since it uses as much as digits as its factorization.

107064397457 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4445280, while the sum is 53.

The spelling of 107064397457 in words is "one hundred seven billion, sixty-four million, three hundred ninety-seven thousand, four hundred fifty-seven".