10010880 has 216 divisors, whose sum is σ = 38263680. Its totient is φ = 2396160.

The previous prime is 10010851. The next prime is 10010881. The reversal of 10010880 is 8801001.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (10010881) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 126681 + ... + 126759.

Almost surely, 2^10010880 is an apocalyptic number.

10010880 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 10010880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19131840).

10010880 is an abundant number, since it is smaller than the sum of its proper divisors (28252800).

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

10010880 is a wasteful number, since it uses less digits than its factorization.

10010880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

The square root of 10010880 is about 3163.9974715540. The cubic root of 10010880 is about 215.5215748484.

Adding to 10010880 its reverse (8801001), we get a palindrome (18811881).

The spelling of 10010880 in words is "ten million, ten thousand, eight hundred eighty".