541344100 has 72 divisors (see below), whose sum is σ = 1337289408. Its totient is φ = 188284800.

The previous prime is 541344091. The next prime is 541344101. The reversal of 541344100 is 1443145.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (541344101) 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, 14602 + ... + 35998.

It is an arithmetic number, because the mean of its divisors is an integer number (18573464).

Almost surely, 2^541344100 is an apocalyptic number.

541344100 is a gapful number since it is divisible by the number (50) 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 541344100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (668644704).

541344100 is an abundant number, since it is smaller than the sum of its proper divisors (795945308).

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

541344100 is a wasteful number, since it uses less digits than its factorization.

541344100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21445 (or 21438 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 541344100 is about 23266.8025306444. The cubic root of 541344100 is about 815.0003638324. Note that the first 3 decimals are identical.

Adding to 541344100 its reverse (1443145), we get a palindrome (542787245).

The spelling of 541344100 in words is "five hundred forty-one million, three hundred forty-four thousand, one hundred".