100143712640 has 64 divisors (see below), whose sum is σ = 242685711360. Its totient is φ = 39508733952.

The previous prime is 100143712631. The next prime is 100143712687. The reversal of 100143712640 is 46217341001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1025024 + ... + 1118463.

It is an arithmetic number, because the mean of its divisors is an integer number (3791964240).

Almost surely, 2^100143712640 is an apocalyptic number.

100143712640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100143712640 is an abundant number, since it is smaller than the sum of its proper divisors (142541998720).

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

100143712640 is an equidigital number, since it uses as much as digits as its factorization.

100143712640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2143579 (or 2143567 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 29.

The spelling of 100143712640 in words is "one hundred billion, one hundred forty-three million, seven hundred twelve thousand, six hundred forty".