105325572 has 48 divisors (see below), whose sum is σ = 270192384. Its totient is φ = 31668000.

The previous prime is 105325513. The next prime is 105325601. The reversal of 105325572 is 275523501.

It is a super-2 number, since 2×105325572² = 22186952234254368, which contains 22 as substring.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14247 + ... + 20337.

It is an arithmetic number, because the mean of its divisors is an integer number (5629008).

Almost surely, 2^105325572 is an apocalyptic number.

105325572 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 105325572, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135096192).

105325572 is an abundant number, since it is smaller than the sum of its proper divisors (164866812).

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

105325572 is a wasteful number, since it uses less digits than its factorization.

105325572 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6240 (or 6238 counting only the distinct ones).

The product of its (nonzero) digits is 10500, while the sum is 30.

The square root of 105325572 is about 10262.8247573463. The cubic root of 105325572 is about 472.2564978079.

The spelling of 105325572 in words is "one hundred five million, three hundred twenty-five thousand, five hundred seventy-two".