54105700 has 72 divisors (see below), whose sum is σ = 129616704. Its totient is φ = 19440000.

The previous prime is 54105697. The next prime is 54105721. The reversal of 54105700 is 750145.

54105700 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (22).

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, 110857 + ... + 111343.

It is an arithmetic number, because the mean of its divisors is an integer number (1800232).

Almost surely, 2^54105700 is an apocalyptic number.

54105700 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 54105700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64808352).

54105700 is an abundant number, since it is smaller than the sum of its proper divisors (75511004).

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

54105700 is a wasteful number, since it uses less digits than its factorization.

54105700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 613 (or 606 counting only the distinct ones).

The product of its (nonzero) digits is 700, while the sum is 22.

The square root of 54105700 is about 7355.6576864343. The cubic root of 54105700 is about 378.2227721122. Note that the first 3 decimals are identical.

Adding to 54105700 its reverse (750145), we get a palindrome (54855845).

The spelling of 54105700 in words is "fifty-four million, one hundred five thousand, seven hundred".