105035252 has 12 divisors (see below), whose sum is σ = 210070560. Its totient is φ = 45015096.

The previous prime is 105035251. The next prime is 105035309. The reversal of 105035252 is 252530501.

105035252 is an admirable number.

It is a super-2 number, since 2×105035252² = 22064808325407008, which contains 22 as substring.

It is a nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105035251) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1875602 + ... + 1875657.

It is an arithmetic number, because the mean of its divisors is an integer number (17505880).

Almost surely, 2^105035252 is an apocalyptic number.

It is an amenable number.

105035252 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

105035252 is a wasteful number, since it uses less digits than its factorization.

105035252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3751270 (or 3751268 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 23.

The square root of 105035252 is about 10248.6707430769. The cubic root of 105035252 is about 471.8221883618.

Adding to 105035252 its reverse (252530501), we get a palindrome (357565753).

It can be divided in two parts, 10503 and 5252, that multiplied together give a triangular number (55161756 = T₁₀₅₀₃).

The spelling of 105035252 in words is "one hundred five million, thirty-five thousand, two hundred fifty-two".