54320100 has 72 divisors (see below), whose sum is σ = 166426848. Its totient is φ = 13632000.

The previous prime is 54320093. The next prime is 54320129. The reversal of 54320100 is 102345.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 54320100.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 226 + ... + 10425.

It is an arithmetic number, because the mean of its divisors is an integer number (2311484).

Almost surely, 2^54320100 is an apocalyptic number.

54320100 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 54320100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83213424).

54320100 is an abundant number, since it is smaller than the sum of its proper divisors (112106748).

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

54320100 is a wasteful number, since it uses less digits than its factorization.

54320100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10685 (or 10678 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 54320100 is about 7370.2170931391. The cubic root of 54320100 is about 378.7216972827.

Adding to 54320100 its reverse (102345), we get a palindrome (54422445).

The spelling of 54320100 in words is "fifty-four million, three hundred twenty thousand, one hundred".