105243552 has 72 divisors (see below), whose sum is σ = 309631140. Its totient is φ = 33868800.

The previous prime is 105243539. The next prime is 105243553. The reversal of 105243552 is 255342501.

It is a happy number.

105243552 is a `hidden beast` number, since 105 + 2 + 4 + 3 + 552 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 104775696 + 467856 = 10236^2 + 684^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×105243552² = 22152410475153408, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105243553) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2052 + ... + 14652.

Almost surely, 2^105243552 is an apocalyptic number.

105243552 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 105243552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154815570).

105243552 is an abundant number, since it is smaller than the sum of its proper divisors (204387588).

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

105243552 is a wasteful number, since it uses less digits than its factorization.

105243552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12646 (or 12635 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 105243552 is about 10258.8280032370. The cubic root of 105243552 is about 472.1338794791.

The spelling of 105243552 in words is "one hundred five million, two hundred forty-three thousand, five hundred fifty-two".