105215572 has 48 divisors (see below), whose sum is σ = 230791680. Its totient is φ = 40773600.

The previous prime is 105215507. The next prime is 105215573. The reversal of 105215572 is 275512501.

It is a super-2 number, since 2×105215572² = 22140633182574368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 105215572.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105215573) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64179 + ... + 65797.

It is an arithmetic number, because the mean of its divisors is an integer number (4808160).

Almost surely, 2^105215572 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105215572, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115395840).

105215572 is an abundant number, since it is smaller than the sum of its proper divisors (125576108).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105215572 is a wasteful number, since it uses less digits than its factorization.

105215572 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1852 (or 1850 counting only the distinct ones).

The product of its (nonzero) digits is 3500, while the sum is 28.

The square root of 105215572 is about 10257.4642090528. The cubic root of 105215572 is about 472.0920353421.

The spelling of 105215572 in words is "one hundred five million, two hundred fifteen thousand, five hundred seventy-two".