105579472 has 20 divisors (see below), whose sum is σ = 205696036. Its totient is φ = 52496640.

The previous prime is 105579457. The next prime is 105579479. The reversal of 105579472 is 274975501.

It can be written as a sum of positive squares in 2 ways, for example, as 30514576 + 75064896 = 5524^2 + 8664^2 .

It is a super-2 number, since 2×105579472² = 22294049815597568, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105579479) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 15333 + ... + 21124.

Almost surely, 2^105579472 is an apocalyptic number.

It is an amenable number.

105579472 is a deficient number, since it is larger than the sum of its proper divisors (100116564).

105579472 is a wasteful number, since it uses less digits than its factorization.

105579472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36646 (or 36640 counting only the distinct ones).

The product of its (nonzero) digits is 88200, while the sum is 40.

The square root of 105579472 is about 10275.1872002412. The cubic root of 105579472 is about 472.6356703808.

The spelling of 105579472 in words is "one hundred five million, five hundred seventy-nine thousand, four hundred seventy-two".