105466872 has 192 divisors, whose sum is σ = 333573120. Its totient is φ = 27184896.

The previous prime is 105466871. The next prime is 105466897. The reversal of 105466872 is 278664501.

It is a super-2 number, since 2×105466872² = 22246522178928768, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105466872.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105466871) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2243953 + ... + 2243999.

It is an arithmetic number, because the mean of its divisors is an integer number (1737360).

Almost surely, 2^105466872 is an apocalyptic number.

105466872 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105466872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166786560).

105466872 is an abundant number, since it is smaller than the sum of its proper divisors (228106248).

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

105466872 is a wasteful number, since it uses less digits than its factorization.

105466872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The square root of 105466872 is about 10269.7065196626. The cubic root of 105466872 is about 472.4675893897.

The spelling of 105466872 in words is "one hundred five million, four hundred sixty-six thousand, eight hundred seventy-two".