105853824 has 128 divisors (see below), whose sum is σ = 316404000. Its totient is φ = 34836480.

The previous prime is 105853819. The next prime is 105853859. The reversal of 105853824 is 428358501.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×105853824² = 22410064110845952, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 376564 + ... + 376844.

Almost surely, 2^105853824 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 105853824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158202000).

105853824 is an abundant number, since it is smaller than the sum of its proper divisors (210550176).

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

105853824 is a wasteful number, since it uses less digits than its factorization.

105853824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 413 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 105853824 is about 10288.5287577962. The cubic root of 105853824 is about 473.0447031367.

The spelling of 105853824 in words is "one hundred five million, eight hundred fifty-three thousand, eight hundred twenty-four".