105642484 has 12 divisors (see below), whose sum is σ = 187905508. Its totient is φ = 51955200.

The previous prime is 105642431. The next prime is 105642497. The reversal of 105642484 is 484246501.

It can be written as a sum of positive squares in 2 ways, for example, as 40678884 + 64963600 = 6378^2 + 8060^2 .

It is a super-2 number, since 2×105642484² = 22320668851380512, which contains 22 as substring.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 216237 + ... + 216724.

Almost surely, 2^105642484 is an apocalyptic number.

It is an amenable number.

105642484 is a deficient number, since it is larger than the sum of its proper divisors (82263024).

105642484 is a wasteful number, since it uses less digits than its factorization.

105642484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433026 (or 433024 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 34.

The square root of 105642484 is about 10278.2529643904. The cubic root of 105642484 is about 472.7296779105.

Adding to 105642484 its reverse (484246501), we get a palindrome (589888985).

The spelling of 105642484 in words is "one hundred five million, six hundred forty-two thousand, four hundred eighty-four".