105640824 has 16 divisors (see below), whose sum is σ = 264102120. Its totient is φ = 35213600.

The previous prime is 105640811. The next prime is 105640841. The reversal of 105640824 is 428046501.

It is a super-2 number, since 2×105640824² = 22319967390797952, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105640791 and 105640800.

It is a congruent number.

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, 2200827 + ... + 2200874.

Almost surely, 2^105640824 is an apocalyptic number.

It is an amenable number.

105640824 is an abundant number, since it is smaller than the sum of its proper divisors (158461296).

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

105640824 is a wasteful number, since it uses less digits than its factorization.

105640824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4401710 (or 4401706 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 105640824 is about 10278.1722110500. The cubic root of 105640824 is about 472.7272018379.

The spelling of 105640824 in words is "one hundred five million, six hundred forty thousand, eight hundred twenty-four".