54101300 has 72 divisors (see below), whose sum is σ = 129366720. Its totient is φ = 19475200.

The previous prime is 54101279. The next prime is 54101321. The reversal of 54101300 is 310145.

It is an interprime number because it is at equal distance from previous prime (54101279) and next prime (54101321).

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, 150521 + ... + 150879.

It is an arithmetic number, because the mean of its divisors is an integer number (1796760).

Almost surely, 2^54101300 is an apocalyptic number.

54101300 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 54101300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64683360).

54101300 is an abundant number, since it is smaller than the sum of its proper divisors (75265420).

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

54101300 is a wasteful number, since it uses less digits than its factorization.

54101300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 521 (or 514 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 14.

The square root of 54101300 is about 7355.3585908506. The cubic root of 54101300 is about 378.2125191857.

Adding to 54101300 its reverse (310145), we get a palindrome (54411445).

The spelling of 54101300 in words is "fifty-four million, one hundred one thousand, three hundred".