54122100 has 72 divisors (see below), whose sum is σ = 157489920. Its totient is φ = 14350080.

The previous prime is 54122099. The next prime is 54122111. The reversal of 54122100 is 122145.

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 54122100.

It is a congruent number.

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, 66496 + ... + 67304.

It is an arithmetic number, because the mean of its divisors is an integer number (2187360).

Almost surely, 2^54122100 is an apocalyptic number.

54122100 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 54122100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78744960).

54122100 is an abundant number, since it is smaller than the sum of its proper divisors (103367820).

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

54122100 is a wasteful number, since it uses less digits than its factorization.

54122100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1049 (or 1042 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 54122100 is about 7356.7723901178. The cubic root of 54122100 is about 378.2609826696.

Adding to 54122100 its reverse (122145), we get a palindrome (54244245).

The spelling of 54122100 in words is "fifty-four million, one hundred twenty-two thousand, one hundred".