105271424 has 16 divisors (see below), whose sum is σ = 209720670. Its totient is φ = 52635648.

The previous prime is 105271379. The next prime is 105271499. The reversal of 105271424 is 424172501.

It can be written as a sum of positive squares in only one way, i.e., 104693824 + 577600 = 10232^2 + 760^2 .

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

It is a super-2 number, since 2×105271424² = 22164145421975552, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105271393 and 105271402.

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 411089 + ... + 411344.

Almost surely, 2^105271424 is an apocalyptic number.

It is an amenable number.

105271424 is a deficient number, since it is larger than the sum of its proper divisors (104449246).

105271424 is an frugal number, since it uses more digits than its factorization.

105271424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 822447 (or 822435 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 26.

The square root of 105271424 is about 10260.1863530835. The cubic root of 105271424 is about 472.1755547290.

The spelling of 105271424 in words is "one hundred five million, two hundred seventy-one thousand, four hundred twenty-four".