100109806720 has 768 divisors, whose sum is σ = 329879848320. Its totient is φ = 28612362240.

The previous prime is 100109806663. The next prime is 100109806747. The reversal of 100109806720 is 27608901001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 252165562 + ... + 252165958.

Almost surely, 2^100109806720 is an apocalyptic number.

100109806720 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 100109806720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164939924160).

100109806720 is an abundant number, since it is smaller than the sum of its proper divisors (229770041600).

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

100109806720 is a wasteful number, since it uses less digits than its factorization.

100109806720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 501 (or 482 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 34.

The spelling of 100109806720 in words is "one hundred billion, one hundred nine million, eight hundred six thousand, seven hundred twenty".