5434100 has 54 divisors (see below), whose sum is σ = 13729590. Its totient is φ = 1861440.

The previous prime is 5434097. The next prime is 5434109. The reversal of 5434100 is 14345.

5434100 = T₄₄₁ + T₄₄₂ + ... + T₄₉₀.

It can be written as a sum of positive squares in 3 ways, for example, as 33124 + 5400976 = 182^2 + 2324^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5434109) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 4346 + ... + 5454.

Almost surely, 2^5434100 is an apocalyptic number.

5434100 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 5434100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6864795).

5434100 is an abundant number, since it is smaller than the sum of its proper divisors (8295490).

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

5434100 is a wasteful number, since it uses less digits than its factorization.

5434100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1137 (or 1123 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 5434100 is about 2331.1156127485. The cubic root of 5434100 is about 175.8095822809.

Adding to 5434100 its reverse (14345), we get a palindrome (5448445).

The spelling of 5434100 in words is "five million, four hundred thirty-four thousand, one hundred".