105505010055004 has 24 divisors (see below), whose sum is σ = 214159423399040. Its totient is φ = 44541560747376.

The previous prime is 105505010054933. The next prime is 105505010055073. The reversal of 105505010055004 is 400550010505501.

It is a super-2 number, since 2×105505010055004² (a number of 29 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 (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28119670314 + ... + 28119674065.

Almost surely, 2^{105505010055004} is an apocalyptic number.

105505010055004 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

105505010055004 is an abundant number, since it is smaller than the sum of its proper divisors (108654413344036).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105505010055004 is a wasteful number, since it uses less digits than its factorization.

105505010055004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56239344457 (or 56239344455 counting only the distinct ones).

The product of its (nonzero) digits is 12500, while the sum is 31.

The spelling of 105505010055004 in words is "one hundred five trillion, five hundred five billion, ten million, fifty-five thousand, four".