100117080 has 512 divisors, whose sum is σ = 435456000. Its totient is φ = 19906560.

The previous prime is 100117067. The next prime is 100117103. The reversal of 100117080 is 80711001.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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, 2441860 + ... + 2441900.

It is an arithmetic number, because the mean of its divisors is an integer number (850500).

Almost surely, 2^100117080 is an apocalyptic number.

100117080 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 100117080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217728000).

100117080 is an abundant number, since it is smaller than the sum of its proper divisors (335338920).

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

100117080 is a wasteful number, since it uses less digits than its factorization.

100117080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 18.

The square root of 100117080 is about 10005.8522875365. The cubic root of 100117080 is about 464.3399584523.

Adding to 100117080 its reverse (80711001), we get a palindrome (180828081).

It can be divided in two parts, 1001 and 17080, that added together give a palindrome (18081).

The spelling of 100117080 in words is "one hundred million, one hundred seventeen thousand, eighty".