105160601164472 has 16 divisors (see below), whose sum is σ = 225344145352560. Its totient is φ = 45068829070464.

The previous prime is 105160601164453. The next prime is 105160601164481. The reversal of 105160601164472 is 274461106061501.

It is a super-2 number, since 2×105160601164472² (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 3 ways as a sum of consecutive naturals, for example, 938933938913 + ... + 938933939024.

It is an arithmetic number, because the mean of its divisors is an integer number (14084009084535).

Almost surely, 2^{105160601164472} is an apocalyptic number.

It is an amenable number.

105160601164472 is an abundant number, since it is smaller than the sum of its proper divisors (120183544188088).

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

105160601164472 is a wasteful number, since it uses less digits than its factorization.

105160601164472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1877867877950 (or 1877867877946 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 44.

The spelling of 105160601164472 in words is "one hundred five trillion, one hundred sixty billion, six hundred one million, one hundred sixty-four thousand, four hundred seventy-two".