105591424 has 16 divisors (see below), whose sum is σ = 210358170. Its totient is φ = 52795648.

The previous prime is 105591401. The next prime is 105591439. The reversal of 105591424 is 424195501.

It can be written as a sum of positive squares in only one way, i.e., 91393600 + 14197824 = 9560^2 + 3768^2 .

It is a tau number, because it is divible by the number of its divisors (16).

It is a super-2 number, since 2×105591424² = 22299097644695552, which contains 22 as substring.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 412339 + ... + 412594.

Almost surely, 2^105591424 is an apocalyptic number.

It is an amenable number.

105591424 is a deficient number, since it is larger than the sum of its proper divisors (104766746).

105591424 is an frugal number, since it uses more digits than its factorization.

105591424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 824947 (or 824935 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 31.

The square root of 105591424 is about 10275.7687790257. The cubic root of 105591424 is about 472.6535044296.

The spelling of 105591424 in words is "one hundred five million, five hundred ninety-one thousand, four hundred twenty-four".