105466464 has 72 divisors (see below), whose sum is σ = 309621312. Its totient is φ = 34018560.

The previous prime is 105466463. The next prime is 105466489. The reversal of 105466464 is 464664501.

105466464 is a `hidden beast` number, since 1 + 0 + 5 + 4 + 6 + 646 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×105466464² = 22246350057326592, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105466463) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3022 + ... + 14834.

It is an arithmetic number, because the mean of its divisors is an integer number (4300296).

Almost surely, 2^105466464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105466464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154810656).

105466464 is an abundant number, since it is smaller than the sum of its proper divisors (204154848).

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

105466464 is a wasteful number, since it uses less digits than its factorization.

105466464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11860 (or 11849 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 105466464 is about 10269.6866553951. The cubic root of 105466464 is about 472.4669801398.

The spelling of 105466464 in words is "one hundred five million, four hundred sixty-six thousand, four hundred sixty-four".