105125328 has 240 divisors, whose sum is σ = 386880000. Its totient is φ = 25816320.

The previous prime is 105125299. The next prime is 105125333. The reversal of 105125328 is 823521501.

It is a happy number.

It is a super-2 number, since 2×105125328² = 22102669174215168, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 210423 + ... + 210921.

It is an arithmetic number, because the mean of its divisors is an integer number (1612000).

Almost surely, 2^105125328 is an apocalyptic number.

105125328 is a gapful number since it is divisible by the number (18) 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 105125328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193440000).

105125328 is an abundant number, since it is smaller than the sum of its proper divisors (281754672).

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

105125328 is a wasteful number, since it uses less digits than its factorization.

105125328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 550 (or 541 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 105125328 is about 10253.0643224355. The cubic root of 105125328 is about 471.9570247189.

Adding to 105125328 its reverse (823521501), we get a palindrome (928646829).

The spelling of 105125328 in words is "one hundred five million, one hundred twenty-five thousand, three hundred twenty-eight".