100014342234400 has 144 divisors (see below), whose sum is σ = 266463967714560. Its totient is φ = 36354161177600.

The previous prime is 100014342234319. The next prime is 100014342234409. The reversal of 100014342234400 is 4432243410001.

It is not an unprimeable number, because it can be changed into a prime (100014342234409) 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, 19503441 + ... + 24091759.

It is an arithmetic number, because the mean of its divisors is an integer number (1850444220240).

Almost surely, 2^{100014342234400} is an apocalyptic number.

100014342234400 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 100014342234400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133231983857280).

100014342234400 is an abundant number, since it is smaller than the sum of its proper divisors (166449625480160).

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

100014342234400 is a wasteful number, since it uses less digits than its factorization.

100014342234400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4590827 (or 4590814 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 100014342234400 its reverse (4432243410001), we get a palindrome (104446585644401).

The spelling of 100014342234400 in words is "one hundred trillion, fourteen billion, three hundred forty-two million, two hundred thirty-four thousand, four hundred".