100143143110304 has 144 divisors (see below), whose sum is σ = 239326540742016. Its totient is φ = 41050871769600.

The previous prime is 100143143110303. The next prime is 100143143110333. The reversal of 100143143110304 is 403011341341001.

It is a super-2 number, since 2×100143143110304² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100143143110303) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1521182669 + ... + 1521248499.

It is an arithmetic number, because the mean of its divisors is an integer number (1661989866264).

Almost surely, 2^{100143143110304} is an apocalyptic number.

100143143110304 is a gapful number since it is divisible by the number (14) 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 100143143110304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119663270371008).

100143143110304 is an abundant number, since it is smaller than the sum of its proper divisors (139183397631712).

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

100143143110304 is a wasteful number, since it uses less digits than its factorization.

100143143110304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108059 (or 108044 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

Adding to 100143143110304 its reverse (403011341341001), we get a palindrome (503154484451305).

The spelling of 100143143110304 in words is "one hundred trillion, one hundred forty-three billion, one hundred forty-three million, one hundred ten thousand, three hundred four".