100345140304000 has 512 divisors, whose sum is σ = 266007714336000. Its totient is φ = 37513181593600.

The previous prime is 100345140303937. The next prime is 100345140304033. The reversal of 100345140304000 is 403041543001.

100345140304000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 61298191182 + ... + 61298192818.

Almost surely, 2^{100345140304000} is an apocalyptic number.

100345140304000 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 100345140304000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133003857168000).

100345140304000 is an abundant number, since it is smaller than the sum of its proper divisors (165662574032000).

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

100345140304000 is a wasteful number, since it uses less digits than its factorization.

100345140304000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3121 (or 3099 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

Adding to 100345140304000 its reverse (403041543001), we get a palindrome (100748181847001).

The spelling of 100345140304000 in words is "one hundred trillion, three hundred forty-five billion, one hundred forty million, three hundred four thousand".