431244100100 has 144 divisors (see below), whose sum is σ = 1076033004480. Its totient is φ = 148364812800.

The previous prime is 431244100087. The next prime is 431244100121. The reversal of 431244100100 is 1001442134.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

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, 16142354 + ... + 16169046.

It is an arithmetic number, because the mean of its divisors is an integer number (7472451420).

Almost surely, 2^431244100100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 431244100100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (538016502240).

431244100100 is an abundant number, since it is smaller than the sum of its proper divisors (644788904380).

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

431244100100 is a wasteful number, since it uses less digits than its factorization.

431244100100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27510 (or 27503 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 431244100100 its reverse (1001442134), we get a palindrome (432245542234).

The spelling of 431244100100 in words is "four hundred thirty-one billion, two hundred forty-four million, one hundred thousand, one hundred".