100709109000 has 512 divisors, whose sum is σ = 362676787200. Its totient is φ = 25833600000.

The previous prime is 100709108987. The next prime is 100709109031. The reversal of 100709109000 is 901907001.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 77408350 + ... + 77409650.

It is an arithmetic number, because the mean of its divisors is an integer number (708353100).

Almost surely, 2^100709109000 is an apocalyptic number.

100709109000 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 100709109000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181338393600).

100709109000 is an abundant number, since it is smaller than the sum of its proper divisors (261967678200).

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

100709109000 is a wasteful number, since it uses less digits than its factorization.

100709109000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1439 (or 1419 counting only the distinct ones).

The product of its (nonzero) digits is 567, while the sum is 27.

The spelling of 100709109000 in words is "one hundred billion, seven hundred nine million, one hundred nine thousand".