43268100 has 72 divisors (see below), whose sum is σ = 125929440. Its totient is φ = 11470080.

The previous prime is 43268041. The next prime is 43268107. The reversal of 43268100 is 186234.

It is a happy number.

It is a super-2 number, since 2×43268100² = 3744256955220000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (43268107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 69591 + ... + 70209.

It is an arithmetic number, because the mean of its divisors is an integer number (1749020).

Almost surely, 2^43268100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 43268100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62964720).

43268100 is an abundant number, since it is smaller than the sum of its proper divisors (82661340).

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

43268100 is a wasteful number, since it uses less digits than its factorization.

43268100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 869 (or 862 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 43268100 is about 6577.8491925553. The cubic root of 43268100 is about 351.0664073507.

The spelling of 43268100 in words is "forty-three million, two hundred sixty-eight thousand, one hundred".