105017572 has 12 divisors (see below), whose sum is σ = 200488176. Its totient is φ = 47735240.

The previous prime is 105017557. The next prime is 105017573. The reversal of 105017572 is 275710501.

It is a super-2 number, since 2×105017572² = 22057380857550368, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105017572.

It is not an unprimeable number, because it can be changed into a prime (105017573) 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, 1193338 + ... + 1193425.

It is an arithmetic number, because the mean of its divisors is an integer number (16707348).

Almost surely, 2^105017572 is an apocalyptic number.

It is an amenable number.

105017572 is a deficient number, since it is larger than the sum of its proper divisors (95470604).

105017572 is a wasteful number, since it uses less digits than its factorization.

105017572 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2386778 (or 2386776 counting only the distinct ones).

The product of its (nonzero) digits is 2450, while the sum is 28.

The square root of 105017572 is about 10247.8081558936. The cubic root of 105017572 is about 471.7957138077.

The spelling of 105017572 in words is "one hundred five million, seventeen thousand, five hundred seventy-two".