54308100 has 144 divisors (see below), whose sum is σ = 195987456. Its totient is φ = 11280000.

The previous prime is 54308087. The next prime is 54308101. The reversal of 54308100 is 180345.

It is a super-2 number, since 2×54308100² = 5898739451220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (54308101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21925 + ... + 24275.

It is an arithmetic number, because the mean of its divisors is an integer number (1361024).

Almost surely, 2^54308100 is an apocalyptic number.

54308100 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 54308100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97993728).

54308100 is an abundant number, since it is smaller than the sum of its proper divisors (141679356).

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

54308100 is a wasteful number, since it uses less digits than its factorization.

54308100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2386 (or 2379 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 54308100 is about 7369.4029608917. The cubic root of 54308100 is about 378.6938070845.

Adding to 54308100 its reverse (180345), we get a palindrome (54488445).

It can be divided in two parts, 5430 and 8100, that added together give a triangular number (13530 = T₁₆₄).

The spelling of 54308100 in words is "fifty-four million, three hundred eight thousand, one hundred".