100790080 has 56 divisors (see below), whose sum is σ = 248305320. Its totient is φ = 38922240.

The previous prime is 100790077. The next prime is 100790087. The reversal of 100790080 is 80097001.

It can be written as a sum of positive squares in 4 ways, for example, as 7706176 + 93083904 = 2776^2 + 9648^2 .

It is a super-3 number, since 3×100790080³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100790087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3850 + ... + 14710.

Almost surely, 2^100790080 is an apocalyptic number.

100790080 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 100790080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124152660).

100790080 is an abundant number, since it is smaller than the sum of its proper divisors (147515240).

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

100790080 is a wasteful number, since it uses less digits than its factorization.

100790080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10907 (or 10897 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 25.

The square root of 100790080 is about 10039.4262784285. The cubic root of 100790080 is about 465.3780869173.

The spelling of 100790080 in words is "one hundred million, seven hundred ninety thousand, eighty".