54346100 has 72 divisors (see below), whose sum is σ = 124658688. Its totient is φ = 20534400.

The previous prime is 54346073. The next prime is 54346121. The reversal of 54346100 is 164345.

It is a happy number.

54346100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×54346100³ (a number of 24 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 145514 + ... + 145886.

Almost surely, 2^54346100 is an apocalyptic number.

54346100 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 54346100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62329344).

54346100 is an abundant number, since it is smaller than the sum of its proper divisors (70312588).

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

54346100 is a wasteful number, since it uses less digits than its factorization.

54346100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465 (or 458 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 54346100 is about 7371.9807379021. The cubic root of 54346100 is about 378.7821119575.

The spelling of 54346100 in words is "fifty-four million, three hundred forty-six thousand, one hundred".