105243132 has 24 divisors (see below), whose sum is σ = 246508416. Its totient is φ = 34946608.

The previous prime is 105243119. The next prime is 105243137. The reversal of 105243132 is 231342501.

It is a super-2 number, since 2×105243132² = 22152233666338848, which contains 22 as substring.

105243132 is a modest number, since divided by 43132 gives 1052 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 105243099 and 105243108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105243137) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13518 + ... + 19829.

It is an arithmetic number, because the mean of its divisors is an integer number (10271184).

Almost surely, 2^105243132 is an apocalyptic number.

105243132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105243132 is an abundant number, since it is smaller than the sum of its proper divisors (141265284).

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

105243132 is a wasteful number, since it uses less digits than its factorization.

105243132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33617 (or 33615 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 105243132 is about 10258.8075330420. The cubic root of 105243132 is about 472.1332514232.

Adding to 105243132 its reverse (231342501), we get a palindrome (336585633).

The spelling of 105243132 in words is "one hundred five million, two hundred forty-three thousand, one hundred thirty-two".