105421824 has 220 divisors, whose sum is σ = 332891328. Its totient is φ = 33177600.

The previous prime is 105421741. The next prime is 105421829. The reversal of 105421824 is 428124501.

It is a super-2 number, since 2×105421824² = 22227521950973952, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105421829) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2571244 + ... + 2571284.

Almost surely, 2^105421824 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 105421824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166445664).

105421824 is an abundant number, since it is smaller than the sum of its proper divisors (227469504).

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

105421824 is an equidigital number, since it uses as much as digits as its factorization.

105421824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 105421824 is about 10267.5130387061. The cubic root of 105421824 is about 472.4003115466.

The spelling of 105421824 in words is "one hundred five million, four hundred twenty-one thousand, eight hundred twenty-four".