54242100 has 108 divisors (see below), whose sum is σ = 185508960. Its totient is φ = 13147200.

The previous prime is 54242099. The next prime is 54242107. The reversal of 54242100 is 124245.

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 (54242107) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7161 + ... + 12639.

Almost surely, 2^54242100 is an apocalyptic number.

54242100 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 54242100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92754480).

54242100 is an abundant number, since it is smaller than the sum of its proper divisors (131266860).

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

54242100 is a wasteful number, since it uses less digits than its factorization.

54242100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5510 (or 5500 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 54242100 is about 7364.9236248586. The cubic root of 54242100 is about 378.5403375100.

Adding to 54242100 its reverse (124245), we get a palindrome (54366345).

The spelling of 54242100 in words is "fifty-four million, two hundred forty-two thousand, one hundred".