105940824 has 72 divisors (see below), whose sum is σ = 292650540. Its totient is φ = 31935200.

The previous prime is 105940771. The next prime is 105940841. The reversal of 105940824 is 428049501.

It is a super-2 number, since 2×105940824² = 22446916379597952, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 554569 + ... + 554759.

Almost surely, 2^105940824 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105940824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146325270).

105940824 is an abundant number, since it is smaller than the sum of its proper divisors (186709716).

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

105940824 is a wasteful number, since it uses less digits than its factorization.

105940824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 105940824 is about 10292.7558991749. The cubic root of 105940824 is about 473.1742642549.

The spelling of 105940824 in words is "one hundred five million, nine hundred forty thousand, eight hundred twenty-four".