100402140960 has 432 divisors, whose sum is σ = 378333970560. Its totient is φ = 24228019200.

The previous prime is 100402140959. The next prime is 100402140989. The reversal of 100402140960 is 69041204001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 41642155 + ... + 41644565.

It is an arithmetic number, because the mean of its divisors is an integer number (875773080).

Almost surely, 2^100402140960 is an apocalyptic number.

100402140960 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 100402140960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189166985280).

100402140960 is an abundant number, since it is smaller than the sum of its proper divisors (277931829600).

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

100402140960 is a wasteful number, since it uses less digits than its factorization.

100402140960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2693 (or 2671 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 100402140960 its reverse (69041204001), we get a palindrome (169443344961).

The spelling of 100402140960 in words is "one hundred billion, four hundred two million, one hundred forty thousand, nine hundred sixty".