100301431440 has 80 divisors (see below), whose sum is σ = 355353648768. Its totient is φ = 22926041088.

The previous prime is 100301431427. The next prime is 100301431441. The reversal of 100301431440 is 44134103001.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (100301431441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29849937 + ... + 29853296.

Almost surely, 2^100301431440 is an apocalyptic number.

100301431440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100301431440 is an abundant number, since it is smaller than the sum of its proper divisors (255052217328).

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

100301431440 is a wasteful number, since it uses less digits than its factorization.

100301431440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59703256 (or 59703250 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 100301431440 its reverse (44134103001), we get a palindrome (144435534441).

The spelling of 100301431440 in words is "one hundred billion, three hundred one million, four hundred thirty-one thousand, four hundred forty".