54100000 has 72 divisors (see below), whose sum is σ = 133374276. Its totient is φ = 21600000.

The previous prime is 54099989. The next prime is 54100009. The reversal of 54100000 is 145.

It can be written as a sum of positive squares in 6 ways, for example, as 8456464 + 45643536 = 2908^2 + 6756^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a nialpdrome in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 54100000.

It is not an unprimeable number, because it can be changed into a prime (54100009) 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, 99730 + ... + 100270.

Almost surely, 2^54100000 is an apocalyptic number.

54100000 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 54100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66687138).

54100000 is an abundant number, since it is smaller than the sum of its proper divisors (79274276).

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

54100000 is an frugal number, since it uses more digits than its factorization.

54100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 576 (or 548 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 10.

The square root of 54100000 is about 7355.2702193733. The cubic root of 54100000 is about 378.2094898055.

Adding to 54100000 its reverse (145), we get a palindrome (54100145).

The spelling of 54100000 in words is "fifty-four million, one hundred thousand".