105036252 has 12 divisors (see below), whose sum is σ = 245084616. Its totient is φ = 35012080.

The previous prime is 105036247. The next prime is 105036257. The reversal of 105036252 is 252630501.

It is an interprime number because it is at equal distance from previous prime (105036247) and next prime (105036257).

It is a tau number, because it is divible by the number of its divisors (12).

It is a super-2 number, since 2×105036252² = 22065228468415008, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105036257) 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, 4376499 + ... + 4376522.

It is an arithmetic number, because the mean of its divisors is an integer number (20423718).

Almost surely, 2^105036252 is an apocalyptic number.

105036252 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105036252 is an abundant number, since it is smaller than the sum of its proper divisors (140048364).

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

105036252 is a wasteful number, since it uses less digits than its factorization.

105036252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8753028 (or 8753026 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 105036252 is about 10248.7195297754. The cubic root of 105036252 is about 471.8236857025.

Adding to 105036252 its reverse (252630501), we get a palindrome (357666753).

The spelling of 105036252 in words is "one hundred five million, thirty-six thousand, two hundred fifty-two".