105414335055 has 48 divisors (see below), whose sum is σ = 186696731520. Its totient is φ = 55005854400.

The previous prime is 105414334979. The next prime is 105414335099. The reversal of 105414335055 is 550533414501.

105414335055 is a `hidden beast` number, since 1 + 0 + 5 + 4 + 143 + 3 + 505 + 5 = 666.

It is not a de Polignac number, because 105414335055 - 2¹⁰ = 105414334031 is a prime.

It is a super-2 number, since 2×105414335055² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 466120 + ... + 654290.

It is an arithmetic number, because the mean of its divisors is an integer number (3889515240).

Almost surely, 2^105414335055 is an apocalyptic number.

105414335055 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

105414335055 is a deficient number, since it is larger than the sum of its proper divisors (81282396465).

105414335055 is a wasteful number, since it uses less digits than its factorization.

105414335055 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188452 (or 188449 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 36.

Adding to 105414335055 its reverse (550533414501), we get a palindrome (655947749556).

The spelling of 105414335055 in words is "one hundred five billion, four hundred fourteen million, three hundred thirty-five thousand, fifty-five".