54891804100 has 81 divisors (see below), whose sum is σ = 138604008333. Its totient is φ = 18814424160.

The previous prime is 54891804043. The next prime is 54891804103. The reversal of 54891804100 is 140819845.

The square root of 54891804100 is 234290.

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

It can be written as a sum of positive squares in only one way, i.e., 19761049476 + 35130754624 = 140574^2 + 187432^2 .

It is a super-2 number, since 2×54891804100² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (54891804103) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 16398627 + ... + 16401973.

Almost surely, 2^54891804100 is an apocalyptic number.

54891804100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

54891804100 is the 234290-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54891804100

54891804100 is an abundant number, since it is smaller than the sum of its proper divisors (83712204233).

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

54891804100 is an equidigital number, since it uses as much as digits as its factorization.

54891804100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6722 (or 3361 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 40.

The spelling of 54891804100 in words is "fifty-four billion, eight hundred ninety-one million, eight hundred four thousand, one hundred".