54616100 has 144 divisors (see below), whose sum is σ = 152240256. Its totient is φ = 16512000.

The previous prime is 54616091. The next prime is 54616109. The reversal of 54616100 is 161645.

It is an interprime number because it is at equal distance from previous prime (54616091) and next prime (54616109).

It is not an unprimeable number, because it can be changed into a prime (54616109) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 315614 + ... + 315786.

It is an arithmetic number, because the mean of its divisors is an integer number (1057224).

Almost surely, 2^54616100 is an apocalyptic number.

54616100 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 54616100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76120128).

54616100 is an abundant number, since it is smaller than the sum of its proper divisors (97624156).

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

54616100 is a wasteful number, since it uses less digits than its factorization.

54616100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 54616100 is about 7390.2706310392. The cubic root of 54616100 is about 379.4083591013.

Adding to 54616100 its reverse (161645), we get a palindrome (54777745).

The spelling of 54616100 in words is "fifty-four million, six hundred sixteen thousand, one hundred".