105442964 has 24 divisors (see below), whose sum is σ = 201858048. Its totient is φ = 47795840.

The previous prime is 105442963. The next prime is 105442999. The reversal of 105442964 is 469244501.

It is a super-2 number, since 2×105442964² = 22236437314210592, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105442963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13724 + ... + 19980.

It is an arithmetic number, because the mean of its divisors is an integer number (8410752).

Almost surely, 2^105442964 is an apocalyptic number.

It is an amenable number.

105442964 is a deficient number, since it is larger than the sum of its proper divisors (96415084).

105442964 is a wasteful number, since it uses less digits than its factorization.

105442964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6655 (or 6653 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 35.

The square root of 105442964 is about 10268.5424476894. The cubic root of 105442964 is about 472.4318858916.

The spelling of 105442964 in words is "one hundred five million, four hundred forty-two thousand, nine hundred sixty-four".