105065716061172 has 24 divisors (see below), whose sum is σ = 245156529776256. Its totient is φ = 35021449310848.

The previous prime is 105065716061153. The next prime is 105065716061179. The reversal of 105065716061172 is 271160617560501.

It is a super-3 number, since 3×105065716061172³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105065716061179) 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, 56044773 + ... + 57889100.

It is an arithmetic number, because the mean of its divisors is an integer number (10214855407344).

Almost surely, 2^{105065716061172} is an apocalyptic number.

105065716061172 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105065716061172 is an abundant number, since it is smaller than the sum of its proper divisors (140090813715084).

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

105065716061172 is a wasteful number, since it uses less digits than its factorization.

105065716061172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114010727 (or 114010725 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 48.

The spelling of 105065716061172 in words is "one hundred five trillion, sixty-five billion, seven hundred sixteen million, sixty-one thousand, one hundred seventy-two".