105225484 has 72 divisors (see below), whose sum is σ = 234433248. Its totient is φ = 40435200.

The previous prime is 105225481. The next prime is 105225493. The reversal of 105225484 is 484522501.

It is a super-2 number, since 2×105225484² = 22144804966068512, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105225481) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 174784 + ... + 175384.

Almost surely, 2^105225484 is an apocalyptic number.

105225484 is a gapful number since it is divisible by the number (14) 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 105225484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117216624).

105225484 is an abundant number, since it is smaller than the sum of its proper divisors (129207764).

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

105225484 is a wasteful number, since it uses less digits than its factorization.

105225484 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 675 (or 660 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 31.

The square root of 105225484 is about 10257.9473580244. The cubic root of 105225484 is about 472.1068596032.

Adding to 105225484 its reverse (484522501), we get a palindrome (589747985).

The spelling of 105225484 in words is "one hundred five million, two hundred twenty-five thousand, four hundred eighty-four".