105550080360281 has 16 divisors (see below), whose sum is σ = 106674327744768. Its totient is φ = 104432565307200.

The previous prime is 105550080360103. The next prime is 105550080360337. The reversal of 105550080360281 is 182063080055501.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105550080360281 is a prime.

It is a super-3 number, since 3×105550080360281³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105550080365281) 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, 38858636 + ... + 41486066.

It is an arithmetic number, because the mean of its divisors is an integer number (6667145484048).

Almost surely, 2^{105550080360281} is an apocalyptic number.

It is an amenable number.

105550080360281 is a deficient number, since it is larger than the sum of its proper divisors (1124247384487).

105550080360281 is a wasteful number, since it uses less digits than its factorization.

105550080360281 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2628712.

The product of its (nonzero) digits is 288000, while the sum is 44.

The spelling of 105550080360281 in words is "one hundred five trillion, five hundred fifty billion, eighty million, three hundred sixty thousand, two hundred eighty-one".