105984952 has 8 divisors (see below), whose sum is σ = 198721800. Its totient is φ = 52992472.

The previous prime is 105984947. The next prime is 105984961. The reversal of 105984952 is 259489501.

It is a tau number, because it is divible by the number of its divisors (8).

It is a super-2 number, since 2×105984952² = 22465620100884608, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105984899 and 105984908.

It is a congruent number.

It is an unprimeable number.

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 as a sum of consecutive naturals, namely, 6624052 + ... + 6624067.

It is an arithmetic number, because the mean of its divisors is an integer number (24840225).

Almost surely, 2^105984952 is an apocalyptic number.

It is an amenable number.

105984952 is a deficient number, since it is larger than the sum of its proper divisors (92736848).

105984952 is a wasteful number, since it uses less digits than its factorization.

105984952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13248125 (or 13248121 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 43.

The square root of 105984952 is about 10294.8993195660. The cubic root of 105984952 is about 473.2399529250.

The spelling of 105984952 in words is "one hundred five million, nine hundred eighty-four thousand, nine hundred fifty-two".