105384712 has 32 divisors (see below), whose sum is σ = 207607680. Its totient is φ = 50054400.

The previous prime is 105384709. The next prime is 105384733. The reversal of 105384712 is 217483501.

It is a super-2 number, since 2×105384712² = 22211875046645888, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25888 + ... + 29680.

It is an arithmetic number, because the mean of its divisors is an integer number (6487740).

Almost surely, 2^105384712 is an apocalyptic number.

It is an amenable number.

105384712 is a deficient number, since it is larger than the sum of its proper divisors (102222968).

105384712 is a wasteful number, since it uses less digits than its factorization.

105384712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3973 (or 3969 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 31.

The square root of 105384712 is about 10265.7056260152. The cubic root of 105384712 is about 472.3448714826.

The spelling of 105384712 in words is "one hundred five million, three hundred eighty-four thousand, seven hundred twelve".