41232100 has 144 divisors (see below), whose sum is σ = 115492608. Its totient is φ = 12418560.

The previous prime is 41232073. The next prime is 41232127. The reversal of 41232100 is 123214.

41232100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (41232073) and next prime (41232127).

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 209202 + ... + 209398.

It is an arithmetic number, because the mean of its divisors is an integer number (802032).

Almost surely, 2^41232100 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 41232100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57746304).

41232100 is an abundant number, since it is smaller than the sum of its proper divisors (74260508).

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

41232100 is a wasteful number, since it uses less digits than its factorization.

41232100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 41232100 is about 6421.2226250146. Note that the first 3 decimals coincide. The cubic root of 41232100 is about 345.4711758551.

Adding to 41232100 its reverse (123214), we get a palindrome (41355314).

It can be divided in two parts, 4 and 1232100, that multiplied together give a square (4928400 = 2220²).

The spelling of 41232100 in words is "forty-one million, two hundred thirty-two thousand, one hundred".