105225540 has 96 divisors (see below), whose sum is σ = 343660800. Its totient is φ = 24046848.

The previous prime is 105225539. The next prime is 105225581. The reversal of 105225540 is 45522501.

It is a happy number.

It is a super-2 number, since 2×105225540² = 22144828536583200, 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 105225540.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18024 + ... + 23136.

It is an arithmetic number, because the mean of its divisors is an integer number (3579800).

Almost surely, 2^105225540 is an apocalyptic number.

105225540 is a gapful number since it is divisible by the number (10) 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 105225540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171830400).

105225540 is an abundant number, since it is smaller than the sum of its proper divisors (238435260).

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

105225540 is a wasteful number, since it uses less digits than its factorization.

105225540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5146 (or 5130 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 24.

The square root of 105225540 is about 10257.9500876150. The cubic root of 105225540 is about 472.1069433534.

The spelling of 105225540 in words is "one hundred five million, two hundred twenty-five thousand, five hundred forty".