541100 has 36 divisors (see below), whose sum is σ = 1343664. Its totient is φ = 185280.

The previous prime is 541097. The next prime is 541129. The reversal of 541100 is 1145.

541100 = T₂₇₁ + T₂₇₂ + ... + T₂₈₄.

It is a nialpdrome in base 10.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 314 + ... + 1086.

It is an arithmetic number, because the mean of its divisors is an integer number (37324).

2⁵⁴¹¹⁰⁰ is an apocalyptic number.

541100 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 541100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (671832).

541100 is an abundant number, since it is smaller than the sum of its proper divisors (802564).

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

541100 is a wasteful number, since it uses less digits than its factorization.

541100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 794 (or 787 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 11.

The square root of 541100 is about 735.5949972641. The cubic root of 541100 is about 81.4877846874.

Adding to 541100 its reverse (1145), we get a palindrome (542245).

The spelling of 541100 in words is "five hundred forty-one thousand, one hundred".