105566464 has 72 divisors (see below), whose sum is σ = 226050048. Its totient is φ = 49029120.

The previous prime is 105566443. The next prime is 105566471. The reversal of 105566464 is 464665501.

It is a super-2 number, since 2×105566464² = 22288556642926592, which contains 22 as substring.

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, 552609 + ... + 552799.

It is an arithmetic number, because the mean of its divisors is an integer number (3139584).

Almost surely, 2^105566464 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 105566464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113025024).

105566464 is an abundant number, since it is smaller than the sum of its proper divisors (120483584).

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

105566464 is a wasteful number, since it uses less digits than its factorization.

105566464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 37.

The square root of 105566464 is about 10274.5541995748. The cubic root of 105566464 is about 472.6162591032.

It can be divided in two parts, 105566 and 464, that added together give a triangular number (106030 = T₄₆₀).

The spelling of 105566464 in words is "one hundred five million, five hundred sixty-six thousand, four hundred sixty-four".