105017157705198 has 16 divisors (see below), whose sum is σ = 210034584050256. Its totient is φ = 35005674461760.

The previous prime is 105017157705181. The next prime is 105017157705199. The reversal of 105017157705198 is 891507751710501.

It is a super-2 number, since 2×105017157705198² (a number of 29 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105017157705199) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5920261 + ... + 15655152.

It is an arithmetic number, because the mean of its divisors is an integer number (13127161503141).

Almost surely, 2^{105017157705198} is an apocalyptic number.

105017157705198 is an abundant number, since it is smaller than the sum of its proper divisors (105017426345058).

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

105017157705198 is a wasteful number, since it uses less digits than its factorization.

105017157705198 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22386659.

The product of its (nonzero) digits is 3087000, while the sum is 57.

The spelling of 105017157705198 in words is "one hundred five trillion, seventeen billion, one hundred fifty-seven million, seven hundred five thousand, one hundred ninety-eight".