105424032 has 96 divisors (see below), whose sum is σ = 321753600. Its totient is φ = 29599488.

The previous prime is 105424001. The next prime is 105424061. The reversal of 105424032 is 230424501.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×105424032² = 22228453046274048, 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, 38319 + ... + 40977.

It is an arithmetic number, because the mean of its divisors is an integer number (3351600).

Almost surely, 2^105424032 is an apocalyptic number.

105424032 is a gapful number since it is divisible by the number (12) 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 105424032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160876800).

105424032 is an abundant number, since it is smaller than the sum of its proper divisors (216329568).

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

105424032 is a wasteful number, since it uses less digits than its factorization.

105424032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2738 (or 2730 counting only the distinct ones).

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

The square root of 105424032 is about 10267.6205617465. The cubic root of 105424032 is about 472.4036095753.

Adding to 105424032 its reverse (230424501), we get a palindrome (335848533).

The spelling of 105424032 in words is "one hundred five million, four hundred twenty-four thousand, thirty-two".