105829484 has 12 divisors (see below), whose sum is σ = 185477544. Its totient is φ = 52835904.

The previous prime is 105829459. The next prime is 105829501. The reversal of 105829484 is 484928501.

It is a super-2 number, since 2×105829484² = 22399759367412512, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 16637 + ... + 22100.

It is an arithmetic number, because the mean of its divisors is an integer number (15456462).

Almost surely, 2^105829484 is an apocalyptic number.

It is an amenable number.

105829484 is a deficient number, since it is larger than the sum of its proper divisors (79648060).

105829484 is a wasteful number, since it uses less digits than its factorization.

105829484 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39424 (or 39422 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 41.

The square root of 105829484 is about 10287.3458190147. The cubic root of 105829484 is about 473.0084430998.

The spelling of 105829484 in words is "one hundred five million, eight hundred twenty-nine thousand, four hundred eighty-four".