54434100 has 216 divisors, whose sum is σ = 192001600. Its totient is φ = 11901120.

The previous prime is 54434099. The next prime is 54434113. The reversal of 54434100 is 143445.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2366689 + ... + 2366711.

Almost surely, 2^54434100 is an apocalyptic number.

54434100 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 54434100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96000800).

54434100 is an abundant number, since it is smaller than the sum of its proper divisors (137567500).

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

54434100 is a wasteful number, since it uses less digits than its factorization.

54434100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 54434100 is about 7377.9468688789. The cubic root of 54434100 is about 378.9864495310.

Multiplying 54434100 by its sum of digits (21), we get a square (1143116100 = 33810²).

54434100 divided by its sum of digits (21) gives a square (2592100 = 1610²).

Adding to 54434100 its reverse (143445), we get a palindrome (54577545).

The spelling of 54434100 in words is "fifty-four million, four hundred thirty-four thousand, one hundred".