105466712 has 32 divisors (see below), whose sum is σ = 219838080. Its totient is φ = 47105280.

The previous prime is 105466703. The next prime is 105466721. The reversal of 105466712 is 217664501.

It is an interprime number because it is at equal distance from previous prime (105466703) and next prime (105466721).

It is a super-2 number, since 2×105466712² = 22246454680181888, which 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 7 ways as a sum of consecutive naturals, for example, 13133 + ... + 19580.

It is an arithmetic number, because the mean of its divisors is an integer number (6869940).

Almost surely, 2^105466712 is an apocalyptic number.

It is an amenable number.

105466712 is an abundant number, since it is smaller than the sum of its proper divisors (114371368).

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

105466712 is a wasteful number, since it uses less digits than its factorization.

105466712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32763 (or 32759 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 32.

The square root of 105466712 is about 10269.6987297583. The cubic root of 105466712 is about 472.4673504683.

The spelling of 105466712 in words is "one hundred five million, four hundred sixty-six thousand, seven hundred twelve".