54531602100 has 108 divisors (see below), whose sum is σ = 180980814924. Its totient is φ = 13686359040.

The previous prime is 54531602053. The next prime is 54531602101. The reversal of 54531602100 is 120613545.

54531602100 is a `hidden beast` number, since 5 + 4 + 53 + 1 + 602 + 1 + 0 + 0 = 666.

54531602100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 109244304 + 54422357796 = 10452^2 + 233286^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54531602101) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1766779 + ... + 1797378.

Almost surely, 2^54531602100 is an apocalyptic number.

54531602100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

54531602100 is an abundant number, since it is smaller than the sum of its proper divisors (126449212824).

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

54531602100 is a wasteful number, since it uses less digits than its factorization.

54531602100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3564194 (or 3564184 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The spelling of 54531602100 in words is "fifty-four billion, five hundred thirty-one million, six hundred two thousand, one hundred".