54100800 has 378 divisors, whose sum is σ = 219975938. Its totient is φ = 12533760.

The previous prime is 54100799. The next prime is 54100801. The reversal of 54100800 is 800145.

It is an interprime number because it is at equal distance from previous prime (54100799) and next prime (54100801).

It can be written as a sum of positive squares in 9 ways, for example, as 9585216 + 44515584 = 3096^2 + 6672^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54100801) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 3182392 + ... + 3182408.

Almost surely, 2^54100800 is an apocalyptic number.

54100800 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 54100800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109987969).

54100800 is an abundant number, since it is smaller than the sum of its proper divisors (165875138).

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

54100800 is a wasteful number, since it uses less digits than its factorization.

54100800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 54100800 is about 7355.3246019465. The cubic root of 54100800 is about 378.2113540452.

Adding to 54100800 its reverse (800145), we get a palindrome (54900945).

The spelling of 54100800 in words is "fifty-four million, one hundred thousand, eight hundred".