100638900000 has 216 divisors, whose sum is σ = 357720143508. Its totient is φ = 26836800000.

The previous prime is 100638899993. The next prime is 100638900113. The reversal of 100638900000 is 9836001.

100638900000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 9548416656 + 91090483344 = 97716^2 + 301812^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 844090 + ... + 955910.

Almost surely, 2^100638900000 is an apocalyptic number.

100638900000 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 100638900000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178860071754).

100638900000 is an abundant number, since it is smaller than the sum of its proper divisors (257081243508).

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

100638900000 is an equidigital number, since it uses as much as digits as its factorization.

100638900000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111862 (or 111831 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The spelling of 100638900000 in words is "one hundred billion, six hundred thirty-eight million, nine hundred thousand".