10091880 has 144 divisors (see below), whose sum is σ = 35200620. Its totient is φ = 2506752.

The previous prime is 10091839. The next prime is 10091899. The reversal of 10091880 is 8819001.

It can be written as a sum of positive squares in 6 ways, for example, as 7001316 + 3090564 = 2646^2 + 1758^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 103992 + ... + 104088.

Almost surely, 2^10091880 is an apocalyptic number.

10091880 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 10091880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17600310).

10091880 is an abundant number, since it is smaller than the sum of its proper divisors (25108740).

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

10091880 is a wasteful number, since it uses less digits than its factorization.

10091880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 27.

The square root of 10091880 is about 3176.7719464891. The cubic root of 10091880 is about 216.1012899427.

The spelling of 10091880 in words is "ten million, ninety-one thousand, eight hundred eighty".