54540100 has 36 divisors (see below), whose sum is σ = 120305668. Its totient is φ = 21456000.

The previous prime is 54540091. The next prime is 54540103. The reversal of 54540100 is 104545.

It can be written as a sum of positive squares in 6 ways, for example, as 6874884 + 47665216 = 2622^2 + 6904^2 .

It is not an unprimeable number, because it can be changed into a prime (54540103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1630 + ... + 10570.

Almost surely, 2^54540100 is an apocalyptic number.

54540100 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 54540100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60152834).

54540100 is an abundant number, since it is smaller than the sum of its proper divisors (65765568).

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

54540100 is a wasteful number, since it uses less digits than its factorization.

54540100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9016 (or 9009 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 19.

The square root of 54540100 is about 7385.1269454221. The cubic root of 54540100 is about 379.2322912349.

Adding to 54540100 its reverse (104545), we get a palindrome (54644645).

The spelling of 54540100 in words is "fifty-four million, five hundred forty thousand, one hundred".