54908100 has 243 divisors, whose sum is σ = 196688583. Its totient is φ = 12804480.

The previous prime is 54908089. The next prime is 54908101. The reversal of 54908100 is 180945.

The square root of 54908100 is 7410.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 14152644 + 40755456 = 3762^2 + 6384^2 .

It is a super-2 number, since 2×54908100² = 6029798891220000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (54908101) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 2889891 + ... + 2889909.

Almost surely, 2^54908100 is an apocalyptic number.

54908100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

54908100 is the 7410-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54908100

54908100 is an abundant number, since it is smaller than the sum of its proper divisors (141780483).

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

54908100 is a wasteful number, since it uses less digits than its factorization.

54908100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The cubic root of 54908100 is about 380.0833150652.

The spelling of 54908100 in words is "fifty-four million, nine hundred eight thousand, one hundred".