545552100 has 216 divisors, whose sum is σ = 1829836008. Its totient is φ = 135475200.

The previous prime is 545552099. The next prime is 545552129. The reversal of 545552100 is 1255545.

545552100 is a `hidden beast` number, since 5 + 4 + 5 + 552 + 100 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 84934656 + 460617444 = 9216^2 + 21462^2 .

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, 2769202 + ... + 2769398.

It is an arithmetic number, because the mean of its divisors is an integer number (8471463).

Almost surely, 2^545552100 is an apocalyptic number.

545552100 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 545552100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (914918004).

545552100 is an abundant number, since it is smaller than the sum of its proper divisors (1284283908).

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

545552100 is a wasteful number, since it uses less digits than its factorization.

545552100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 415 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 5000, while the sum is 27.

The square root of 545552100 is about 23357.0567495136. The cubic root of 545552100 is about 817.1066480105.

The spelling of 545552100 in words is "five hundred forty-five million, five hundred fifty-two thousand, one hundred".