100431040 has 56 divisors (see below), whose sum is σ = 240212880. Its totient is φ = 39994368.

The previous prime is 100431007. The next prime is 100431043. The reversal of 100431040 is 40134001.

It is a self number, because there is not a number n which added to its sum of digits gives 100431040.

It is not an unprimeable number, because it can be changed into a prime (100431043) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 90006 + ... + 91114.

Almost surely, 2^100431040 is an apocalyptic number.

100431040 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 100431040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120106440).

100431040 is an abundant number, since it is smaller than the sum of its proper divisors (139781840).

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

100431040 is a wasteful number, since it uses less digits than its factorization.

100431040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1409 (or 1399 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 100431040 is about 10021.5288254837. The cubic root of 100431040 is about 464.8248309260.

Adding to 100431040 its reverse (40134001), we get a palindrome (140565041).

The spelling of 100431040 in words is "one hundred million, four hundred thirty-one thousand, forty".