54356100 has 72 divisors (see below), whose sum is σ = 158010720. Its totient is φ = 14426880.

The previous prime is 54356083. The next prime is 54356101. The reversal of 54356100 is 165345.

It is not an unprimeable number, because it can be changed into a prime (54356101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 122479 + ... + 122921.

Almost surely, 2^54356100 is an apocalyptic number.

54356100 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 54356100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79005360).

54356100 is an abundant number, since it is smaller than the sum of its proper divisors (103654620).

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

54356100 is a wasteful number, since it uses less digits than its factorization.

54356100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 869 (or 862 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 54356100 is about 7372.6589504737. The cubic root of 54356100 is about 378.8053432400.

The spelling of 54356100 in words is "fifty-four million, three hundred fifty-six thousand, one hundred".