105564260 has 24 divisors (see below), whose sum is σ = 222069120. Its totient is φ = 42152544.

The previous prime is 105564259. The next prime is 105564281. The reversal of 105564260 is 62465501.

It is a super-2 number, since 2×105564260² = 22287625978695200, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8117 + ... + 16643.

It is an arithmetic number, because the mean of its divisors is an integer number (9252880).

Almost surely, 2^105564260 is an apocalyptic number.

105564260 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105564260 is an abundant number, since it is smaller than the sum of its proper divisors (116504860).

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

105564260 is a wasteful number, since it uses less digits than its factorization.

105564260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9155 (or 9153 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 29.

The square root of 105564260 is about 10274.4469437532. The cubic root of 105564260 is about 472.6129700111.

The spelling of 105564260 in words is "one hundred five million, five hundred sixty-four thousand, two hundred sixty".