105035388 has 24 divisors (see below), whose sum is σ = 255739008. Its totient is φ = 33489456.

The previous prime is 105035377. The next prime is 105035423. The reversal of 105035388 is 883530501.

105035388 is digitally balanced in base 9, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×105035388² = 22064865464621088, which contains 22 as substring.

105035388 is strictly pandigital in base 9.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 190006 + ... + 190557.

It is an arithmetic number, because the mean of its divisors is an integer number (10655792).

Almost surely, 2^105035388 is an apocalyptic number.

It is an amenable number.

105035388 is an abundant number, since it is smaller than the sum of its proper divisors (150703620).

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

105035388 is a wasteful number, since it uses less digits than its factorization.

105035388 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380593 (or 380591 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 33.

The square root of 105035388 is about 10248.6773780815. The cubic root of 105035388 is about 471.8223920007.

Adding to 105035388 its reverse (883530501), we get a palindrome (988565889).

The spelling of 105035388 in words is "one hundred five million, thirty-five thousand, three hundred eighty-eight".