20432100 has 144 divisors (see below), whose sum is σ = 66106880. Its totient is φ = 4867200.

The previous prime is 20432099. The next prime is 20432101. The reversal of 20432100 is 123402.

It is an interprime number because it is at equal distance from previous prime (20432099) and next prime (20432101).

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

It is not an unprimeable number, because it can be changed into a prime (20432101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 659085 + ... + 659115.

Almost surely, 2^20432100 is an apocalyptic number.

20432100 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 20432100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33053440).

20432100 is an abundant number, since it is smaller than the sum of its proper divisors (45674780).

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

20432100 is a wasteful number, since it uses less digits than its factorization.

20432100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 20432100 is about 4520.1880491856. The cubic root of 20432100 is about 273.3826832700.

Adding to 20432100 its reverse (123402), we get a palindrome (20555502).

The spelling of 20432100 in words is "twenty million, four hundred thirty-two thousand, one hundred".