53454100 has 54 divisors (see below), whose sum is σ = 134945790. Its totient is φ = 18325440.

The previous prime is 53454091. The next prime is 53454109. The reversal of 53454100 is 145435.

53454100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (53454091) and next prime (53454109).

It can be written as a sum of positive squares in 3 ways, for example, as 659344 + 52794756 = 812^2 + 7266^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53454109) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 555 + ... + 10354.

Almost surely, 2^53454100 is an apocalyptic number.

53454100 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 53454100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67472895).

53454100 is an abundant number, since it is smaller than the sum of its proper divisors (81491690).

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

53454100 is a wasteful number, since it uses less digits than its factorization.

53454100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10937 (or 10923 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 22.

The square root of 53454100 is about 7311.2310864861. The cubic root of 53454100 is about 376.6983118356.

Adding to 53454100 its reverse (145435), we get a palindrome (53599535).

The spelling of 53454100 in words is "fifty-three million, four hundred fifty-four thousand, one hundred".