105423024 has 80 divisors (see below), whose sum is σ = 312694272. Its totient is φ = 29981184.

The previous prime is 105422987. The next prime is 105423037. The reversal of 105423024 is 420324501.

It is a super-2 number, since 2×105423024² = 22228027978609152, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 87772 + ... + 88964.

Almost surely, 2^105423024 is an apocalyptic number.

105423024 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105423024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156347136).

105423024 is an abundant number, since it is smaller than the sum of its proper divisors (207271248).

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

105423024 is a wasteful number, since it uses less digits than its factorization.

105423024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1474 (or 1468 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 105423024 is about 10267.5714752808. The cubic root of 105423024 is about 472.4021039592.

Adding to 105423024 its reverse (420324501), we get a palindrome (525747525).

The spelling of 105423024 in words is "one hundred five million, four hundred twenty-three thousand, twenty-four".