20054100 has 144 divisors (see below), whose sum is σ = 64995840. Its totient is φ = 4732800.

The previous prime is 20054093. The next prime is 20054113. The reversal of 20054100 is 145002.

20054100 = T₁₉₀₄ + T₁₉₀₅ + ... + T₁₉₁₄.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 194649 + ... + 194751.

It is an arithmetic number, because the mean of its divisors is an integer number (451360).

Almost surely, 2^20054100 is an apocalyptic number.

20054100 is a gapful number since it is divisible by the number (20) 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 20054100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32497920).

20054100 is an abundant number, since it is smaller than the sum of its proper divisors (44941740).

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

20054100 is a wasteful number, since it uses less digits than its factorization.

20054100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 12.

The square root of 20054100 is about 4478.1804340602. The cubic root of 20054100 is about 271.6862912961.

Adding to 20054100 its reverse (145002), we get a palindrome (20199102).

It can be divided in two parts, 2005 and 4100, that added together give a triangular number (6105 = T₁₁₀).

The spelling of 20054100 in words is "twenty million, fifty-four thousand, one hundred".