431103006 has 64 divisors (see below), whose sum is σ = 975283200. Its totient is φ = 141134400.

The previous prime is 431102981. The next prime is 431103031. The reversal of 431103006 is 600301134.

It is an interprime number because it is at equal distance from previous prime (431102981) and next prime (431103031).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 431103006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1302261 + ... + 1302591.

It is an arithmetic number, because the mean of its divisors is an integer number (15238800).

Almost surely, 2^431103006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 431103006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487641600).

431103006 is an abundant number, since it is smaller than the sum of its proper divisors (544180194).

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

431103006 is a wasteful number, since it uses less digits than its factorization.

431103006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 702 (or 696 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 431103006 is about 20763.0201560370. The cubic root of 431103006 is about 755.4290536753.

The spelling of 431103006 in words is "four hundred thirty-one million, one hundred three thousand, six".