100730880 has 144 divisors (see below), whose sum is σ = 349434540. Its totient is φ = 26836992.

The previous prime is 100730849. The next prime is 100730921. The reversal of 100730880 is 88037001.

It can be written as a sum of positive squares in 2 ways, for example, as 94012416 + 6718464 = 9696^2 + 2592^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 91614 + ... + 92706.

Almost surely, 2^100730880 is an apocalyptic number.

100730880 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 100730880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174717270).

100730880 is an abundant number, since it is smaller than the sum of its proper divisors (248703660).

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

100730880 is a wasteful number, since it uses less digits than its factorization.

100730880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1126 (or 1103 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 100730880 is about 10036.4774697102. The cubic root of 100730880 is about 465.2869543426.

Adding to 100730880 its reverse (88037001), we get a palindrome (188767881).

The spelling of 100730880 in words is "one hundred million, seven hundred thirty thousand, eight hundred eighty".