100045000000000 has 880 divisors, whose sum is σ = 291315228408864. Its totient is φ = 33920000000000.

The previous prime is 100044999999817. The next prime is 100045000000037. The reversal of 100045000000000 is 540001.

It is a tau number, because it is divible by the number of its divisors (880).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 87 ways as a sum of consecutive naturals, for example, 934999999947 + ... + 935000000053.

Almost surely, 2^{100045000000000} is an apocalyptic number.

100045000000000 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 100045000000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145657614204432).

100045000000000 is an abundant number, since it is smaller than the sum of its proper divisors (191270228408864).

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

100045000000000 is an frugal number, since it uses more digits than its factorization.

100045000000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 10.

Adding to 100045000000000 its reverse (540001), we get a palindrome (100045000540001).

The spelling of 100045000000000 in words is "one hundred trillion, forty-five billion", and thus it is an aban number.