105068672 has 32 divisors (see below), whose sum is σ = 216076800. Its totient is φ = 50837760.

The previous prime is 105068671. The next prime is 105068693. The reversal of 105068672 is 276860501.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×105068672² = 22078851671687168, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105068671) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 9272 + ... + 17207.

It is an arithmetic number, because the mean of its divisors is an integer number (6752400).

Almost surely, 2^105068672 is an apocalyptic number.

It is an amenable number.

105068672 is an abundant number, since it is smaller than the sum of its proper divisors (111008128).

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

105068672 is an equidigital number, since it uses as much as digits as its factorization.

105068672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26524 (or 26512 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 35.

The square root of 105068672 is about 10250.3010687492. The cubic root of 105068672 is about 471.8722243423.

The spelling of 105068672 in words is "one hundred five million, sixty-eight thousand, six hundred seventy-two".