105073572 has 96 divisors (see below), whose sum is σ = 268531200. Its totient is φ = 31871232.

The previous prime is 105073571. The next prime is 105073589. The reversal of 105073572 is 275370501.

It is a super-3 number, since 3×105073572³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (105073571) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 981943 + ... + 982049.

It is an arithmetic number, because the mean of its divisors is an integer number (2797200).

Almost surely, 2^105073572 is an apocalyptic number.

105073572 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105073572, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134265600).

105073572 is an abundant number, since it is smaller than the sum of its proper divisors (163457628).

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

105073572 is a wasteful number, since it uses less digits than its factorization.

105073572 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 7350, while the sum is 30.

The square root of 105073572 is about 10250.5400833322. The cubic root of 105073572 is about 471.8795596653.

The spelling of 105073572 in words is "one hundred five million, seventy-three thousand, five hundred seventy-two".