100359143808 has 512 divisors, whose sum is σ = 342700416000. Its totient is φ = 25794478080.

The previous prime is 100359143777. The next prime is 100359143809. The reversal of 100359143808 is 808341953001.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 100359143808.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100359143809) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 163717710 + ... + 163718322.

It is an arithmetic number, because the mean of its divisors is an integer number (669336750).

Almost surely, 2^100359143808 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100359143808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171350208000).

100359143808 is an abundant number, since it is smaller than the sum of its proper divisors (242341272192).

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

100359143808 is a wasteful number, since it uses less digits than its factorization.

100359143808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 775 (or 749 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 42.

The spelling of 100359143808 in words is "one hundred billion, three hundred fifty-nine million, one hundred forty-three thousand, eight hundred eight".