100110097080 has 576 divisors, whose sum is σ = 399200892480. Its totient is φ = 21307392000.

The previous prime is 100110097069. The next prime is 100110097169. The reversal of 100110097080 is 80790011001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 73555600 + ... + 73556960.

It is an arithmetic number, because the mean of its divisors is an integer number (693057105).

Almost surely, 2^100110097080 is an apocalyptic number.

100110097080 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 100110097080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199600446240).

100110097080 is an abundant number, since it is smaller than the sum of its proper divisors (299090795400).

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

100110097080 is a wasteful number, since it uses less digits than its factorization.

100110097080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1520 (or 1496 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 27.

The spelling of 100110097080 in words is "one hundred billion, one hundred ten million, ninety-seven thousand, eighty".