105066564 has 72 divisors (see below), whose sum is σ = 261418752. Its totient is φ = 32797440.

The previous prime is 105066557. The next prime is 105066571. The reversal of 105066564 is 465660501.

It is an interprime number because it is at equal distance from previous prime (105066557) and next prime (105066571).

It is a super-2 number, since 2×105066564² = 22077965741532192, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1439232 + ... + 1439304.

It is an arithmetic number, because the mean of its divisors is an integer number (3630816).

Almost surely, 2^105066564 is an apocalyptic number.

It is an amenable number.

105066564 is an abundant number, since it is smaller than the sum of its proper divisors (156352188).

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

105066564 is a wasteful number, since it uses less digits than its factorization.

105066564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The square root of 105066564 is about 10250.1982419854. The cubic root of 105066564 is about 471.8690685862.

The spelling of 105066564 in words is "one hundred five million, sixty-six thousand, five hundred sixty-four".