20461100 has 108 divisors (see below), whose sum is σ = 51949800. Its totient is φ = 6969600.

The previous prime is 20461093. The next prime is 20461139. The reversal of 20461100 is 116402.

20461100 = T₂₄₀ + T₂₄₁ + ... + T₅₁₄.

It is a super-2 number, since 2×20461100² = 837313226420000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 229856 + ... + 229944.

Almost surely, 2^20461100 is an apocalyptic number.

20461100 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 20461100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25974900).

20461100 is an abundant number, since it is smaller than the sum of its proper divisors (31488700).

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

20461100 is a wasteful number, since it uses less digits than its factorization.

20461100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 20461100 is about 4523.3947428895. The cubic root of 20461100 is about 273.5119626864.

Adding to 20461100 its reverse (116402), we get a palindrome (20577502).

The spelling of 20461100 in words is "twenty million, four hundred sixty-one thousand, one hundred".