54418100 has 72 divisors (see below), whose sum is σ = 131095776. Its totient is φ = 19440000.

The previous prime is 54418097. The next prime is 54418153. The reversal of 54418100 is 181445.

It is a super-2 number, since 2×54418100² = 5922659215220000, which contains 22 as substring.

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, 66695 + ... + 67505.

Almost surely, 2^54418100 is an apocalyptic number.

54418100 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 54418100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65547888).

54418100 is an abundant number, since it is smaller than the sum of its proper divisors (76677676).

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

54418100 is a wasteful number, since it uses less digits than its factorization.

54418100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 897 (or 890 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 23.

The square root of 54418100 is about 7376.8624766902. The cubic root of 54418100 is about 378.9493136339.

Adding to 54418100 its reverse (181445), we get a palindrome (54599545).

The spelling of 54418100 in words is "fifty-four million, four hundred eighteen thousand, one hundred".