105605551100076 has 96 divisors (see below), whose sum is σ = 259883822661120. Its totient is φ = 33284645452800.

The previous prime is 105605551100017. The next prime is 105605551100099. The reversal of 105605551100076 is 670001155506501.

It is a super-3 number, since 3×105605551100076³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 416658906 + ... + 416912286.

It is an arithmetic number, because the mean of its divisors is an integer number (2707123152720).

Almost surely, 2^{105605551100076} is an apocalyptic number.

It is an amenable number.

105605551100076 is an abundant number, since it is smaller than the sum of its proper divisors (154278271561044).

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

105605551100076 is a wasteful number, since it uses less digits than its factorization.

105605551100076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256935 (or 256933 counting only the distinct ones).

The product of its (nonzero) digits is 157500, while the sum is 42.

The spelling of 105605551100076 in words is "one hundred five trillion, six hundred five billion, five hundred fifty-one million, one hundred thousand, seventy-six".