1432100100 has 72 divisors (see below), whose sum is σ = 4153796640. Its totient is φ = 380948480.

The previous prime is 1432100081. The next prime is 1432100101. The reversal of 1432100100 is 10012341.

It is a happy number.

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 (1432100101) 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 23 ways as a sum of consecutive naturals, for example, 120004 + ... + 131396.

It is an arithmetic number, because the mean of its divisors is an integer number (57691620).

Almost surely, 2^1432100100 is an apocalyptic number.

1432100100 is a gapful number since it is divisible by the number (10) 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 1432100100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2076898320).

1432100100 is an abundant number, since it is smaller than the sum of its proper divisors (2721696540).

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

1432100100 is a wasteful number, since it uses less digits than its factorization.

1432100100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11829 (or 11822 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 1432100100 is about 37843.0984460839. The cubic root of 1432100100 is about 1127.1744216886.

Adding to 1432100100 its reverse (10012341), we get a palindrome (1442112441).

The spelling of 1432100100 in words is "one billion, four hundred thirty-two million, one hundred thousand, one hundred".