105037017340818 has 32 divisors (see below), whose sum is σ = 211905510125760. Its totient is φ = 34707668602880.

The previous prime is 105037017340799. The next prime is 105037017340831. The reversal of 105037017340818 is 818043710730501.

It is a super-3 number, since 3×105037017340818³ (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 polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71193855 + ... + 72654242.

It is an arithmetic number, because the mean of its divisors is an integer number (6622047191430).

Almost surely, 2^{105037017340818} is an apocalyptic number.

105037017340818 is an abundant number, since it is smaller than the sum of its proper divisors (106868492784942).

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

105037017340818 is a wasteful number, since it uses less digits than its factorization.

105037017340818 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143849162.

The product of its (nonzero) digits is 564480, while the sum is 48.

The spelling of 105037017340818 in words is "one hundred five trillion, thirty-seven billion, seventeen million, three hundred forty thousand, eight hundred eighteen".