105505072 has 20 divisors (see below), whose sum is σ = 204636456. Its totient is φ = 52695680.

The previous prime is 105505021. The next prime is 105505079. The reversal of 105505072 is 270505501.

It is a happy number.

It is a super-2 number, since 2×105505072² = 22262640435450368, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105505079) 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, 14547 + ... + 20557.

Almost surely, 2^105505072 is an apocalyptic number.

It is an amenable number.

105505072 is a deficient number, since it is larger than the sum of its proper divisors (99131384).

105505072 is a wasteful number, since it uses less digits than its factorization.

105505072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7116 (or 7110 counting only the distinct ones).

The product of its (nonzero) digits is 1750, while the sum is 25.

The square root of 105505072 is about 10271.5661902166. The cubic root of 105505072 is about 472.5246249402.

The spelling of 105505072 in words is "one hundred five million, five hundred five thousand, seventy-two".