105802824 has 16 divisors (see below), whose sum is σ = 264507120. Its totient is φ = 35267600.

The previous prime is 105802813. The next prime is 105802841. The reversal of 105802824 is 428208501.

It is a super-2 number, since 2×105802824² = 22388475132749952, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105802791 and 105802800.

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, 2204202 + ... + 2204249.

It is an arithmetic number, because the mean of its divisors is an integer number (16531695).

Almost surely, 2^105802824 is an apocalyptic number.

It is an amenable number.

105802824 is an abundant number, since it is smaller than the sum of its proper divisors (158704296).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105802824 is a wasteful number, since it uses less digits than its factorization.

105802824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4408460 (or 4408456 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 30.

The square root of 105802824 is about 10286.0499707128. The cubic root of 105802824 is about 472.9687205081.

The spelling of 105802824 in words is "one hundred five million, eight hundred two thousand, eight hundred twenty-four".