105505405306459 has 16 divisors (see below), whose sum is σ = 112071233572480. Its totient is φ = 99044507479680.

The previous prime is 105505405306451. The next prime is 105505405306507. The reversal of 105505405306459 is 954603504505501.

It is not a de Polignac number, because 105505405306459 - 2³ = 105505405306451 is a prime.

It is a super-2 number, since 2×105505405306459² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105505405306451) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49500777 + ... + 51588154.

It is an arithmetic number, because the mean of its divisors is an integer number (7004452098280).

Almost surely, 2^{105505405306459} is an apocalyptic number.

105505405306459 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

105505405306459 is a deficient number, since it is larger than the sum of its proper divisors (6565828266021).

105505405306459 is a wasteful number, since it uses less digits than its factorization.

105505405306459 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101089450.

The product of its (nonzero) digits is 8100000, while the sum is 52.

The spelling of 105505405306459 in words is "one hundred five trillion, five hundred five billion, four hundred five million, three hundred six thousand, four hundred fifty-nine".