10010896 has 45 divisors (see below), whose sum is σ = 22764261. Its totient is φ = 4252416.

The previous prime is 10010881. The next prime is 10010941. The reversal of 10010896 is 69801001.

The square root of 10010896 is 3164.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 176400 + 9834496 = 420^2 + 3136^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10010896.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 88536 + ... + 88648.

Almost surely, 2^10010896 is an apocalyptic number.

10010896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

10010896 is the 3164-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10010896

10010896 is an abundant number, since it is smaller than the sum of its proper divisors (12753365).

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

10010896 is an equidigital number, since it uses as much as digits as its factorization.

10010896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 25.

The cubic root of 10010896 is about 215.5216896683.

Multiplying 10010896 by its sum of digits (25), we get a square (250272400 = 15820²).

Adding to 10010896 its reverse (69801001), we get a palindrome (79811897).

The spelling of 10010896 in words is "ten million, ten thousand, eight hundred ninety-six".