105255018081801 has 36 divisors (see below), whose sum is σ = 183380593473792. Its totient is φ = 56980160152272.

The previous prime is 105255018081781. The next prime is 105255018081803. The reversal of 105255018081801 is 108180810552501.

105255018081801 is a `hidden beast` number, since 1 + 0 + 5 + 2 + 550 + 1 + 80 + 8 + 18 + 0 + 1 = 666.

It is not a de Polignac number, because 105255018081801 - 2⁹ = 105255018081289 is a prime.

It is a super-2 number, since 2×105255018081801² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105255018081803) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 2313986361 + ... + 2314031846.

It is an arithmetic number, because the mean of its divisors is an integer number (5093905374272).

Almost surely, 2^{105255018081801} is an apocalyptic number.

It is an amenable number.

105255018081801 is a deficient number, since it is larger than the sum of its proper divisors (78125575391991).

105255018081801 is a wasteful number, since it uses less digits than its factorization.

105255018081801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4628018258 (or 4628018236 counting only the distinct ones).

The product of its (nonzero) digits is 128000, while the sum is 45.

The spelling of 105255018081801 in words is "one hundred five trillion, two hundred fifty-five billion, eighteen million, eighty-one thousand, eight hundred one".