105423252 has 48 divisors (see below), whose sum is σ = 269438400. Its totient is φ = 31816960.

The previous prime is 105423247. The next prime is 105423257. The reversal of 105423252 is 252324501.

It is an interprime number because it is at equal distance from previous prime (105423247) and next prime (105423257).

It is a super-2 number, since 2×105423252² = 22228124124511008, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105423257) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34024 + ... + 36992.

It is an arithmetic number, because the mean of its divisors is an integer number (5613300).

Almost surely, 2^105423252 is an apocalyptic number.

105423252 is a gapful number since it is divisible by the number (12) 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 105423252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134719200).

105423252 is an abundant number, since it is smaller than the sum of its proper divisors (164015148).

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

105423252 is a wasteful number, since it uses less digits than its factorization.

105423252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3256 (or 3254 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 105423252 is about 10267.5825781924. The cubic root of 105423252 is about 472.4024445161.

Adding to 105423252 its reverse (252324501), we get a palindrome (357747753).

The spelling of 105423252 in words is "one hundred five million, four hundred twenty-three thousand, two hundred fifty-two".