105265984 has 14 divisors (see below), whose sum is σ = 208887314. Its totient is φ = 52632960.

The previous prime is 105265973. The next prime is 105265991. The reversal of 105265984 is 489562501.

It can be written as a sum of positive squares in only one way, i.e., 102576384 + 2689600 = 10128^2 + 1640^2 .

It is a super-2 number, since 2×105265984² = 22161854774976512, which contains 22 as substring.

It is a congruent number.

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 as a sum of consecutive naturals, namely, 822327 + ... + 822454.

Almost surely, 2^105265984 is an apocalyptic number.

It is an amenable number.

105265984 is a deficient number, since it is larger than the sum of its proper divisors (103621330).

105265984 is an equidigital number, since it uses as much as digits as its factorization.

105265984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1644793 (or 1644783 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 40.

The square root of 105265984 is about 10259.9212472611. The cubic root of 105265984 is about 472.1674212167.

The spelling of 105265984 in words is "one hundred five million, two hundred sixty-five thousand, nine hundred eighty-four".