105853169058 has 64 divisors (see below), whose sum is σ = 266621279232. Its totient is φ = 27268073280.

The previous prime is 105853169047. The next prime is 105853169087. The reversal of 105853169058 is 850961358501.

It is a happy number.

It is a super-2 number, since 2×105853169058² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105853169058.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2230828 + ... + 2277783.

It is an arithmetic number, because the mean of its divisors is an integer number (4165957488).

Almost surely, 2^105853169058 is an apocalyptic number.

105853169058 is an abundant number, since it is smaller than the sum of its proper divisors (160768110174).

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

105853169058 is a wasteful number, since it uses less digits than its factorization.

105853169058 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4508679.

The product of its (nonzero) digits is 1296000, while the sum is 51.

It can be divided in two parts, 105853 and 169058, that added together give a triangular number (274911 = T₇₄₁).

The spelling of 105853169058 in words is "one hundred five billion, eight hundred fifty-three million, one hundred sixty-nine thousand, fifty-eight".