105505405306507 has 2 divisors, whose sum is σ = 105505405306508. Its totient is φ = 105505405306506.

The previous prime is 105505405306451. The next prime is 105505405306523. The reversal of 105505405306507 is 705603504505501.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 105505405306507 - 2¹⁵ = 105505405273739 is a prime.

It is a super-2 number, since 2×105505405306507² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105505405396507) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52752702653253 + 52752702653254.

It is an arithmetic number, because the mean of its divisors is an integer number (52752702653254).

Almost surely, 2^{105505405306507} is an apocalyptic number.

105505405306507 is a deficient number, since it is larger than the sum of its proper divisors (1).

105505405306507 is an equidigital number, since it uses as much as digits as its factorization.

105505405306507 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1575000, while the sum is 46.

The spelling of 105505405306507 in words is "one hundred five trillion, five hundred five billion, four hundred five million, three hundred six thousand, five hundred seven".