105788452 has 72 divisors (see below), whose sum is σ = 237293280. Its totient is φ = 40803840.

The previous prime is 105788443. The next prime is 105788483. The reversal of 105788452 is 254887501.

It is a super-2 number, since 2×105788452² = 22382393153112608, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 299508 + ... + 299860.

It is an arithmetic number, because the mean of its divisors is an integer number (3295740).

Almost surely, 2^105788452 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105788452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118646640).

105788452 is an abundant number, since it is smaller than the sum of its proper divisors (131504828).

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

105788452 is a wasteful number, since it uses less digits than its factorization.

105788452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 521 (or 512 counting only the distinct ones).

The product of its (nonzero) digits is 89600, while the sum is 40.

The square root of 105788452 is about 10285.3513308977. The cubic root of 105788452 is about 472.9473038956.

The spelling of 105788452 in words is "one hundred five million, seven hundred eighty-eight thousand, four hundred fifty-two".