105072441185166 has 192 divisors, whose sum is σ = 261356051059200. Its totient is φ = 27573474539520.

The previous prime is 105072441185137. The next prime is 105072441185183. The reversal of 105072441185166 is 661581144270501.

It is a super-2 number, since 2×105072441185166² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11611493010 + ... + 11611502058.

It is an arithmetic number, because the mean of its divisors is an integer number (1361229432600).

Almost surely, 2^{105072441185166} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105072441185166, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130678025529600).

105072441185166 is an abundant number, since it is smaller than the sum of its proper divisors (156283609874034).

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

105072441185166 is a wasteful number, since it uses less digits than its factorization.

105072441185166 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17051 (or 17038 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 51.

The spelling of 105072441185166 in words is "one hundred five trillion, seventy-two billion, four hundred forty-one million, one hundred eighty-five thousand, one hundred sixty-six".