10096776 has 96 divisors (see below), whose sum is σ = 29610360. Its totient is φ = 3096576.

The previous prime is 10096769. The next prime is 10096777. The reversal of 10096776 is 67769001.

It can be written as a sum of positive squares in 4 ways, for example, as 7452900 + 2643876 = 2730^2 + 1626^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 10096776.

It is not an unprimeable number, because it can be changed into a prime (10096777) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 89296 + ... + 89408.

Almost surely, 2^10096776 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10096776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14805180).

10096776 is an abundant number, since it is smaller than the sum of its proper divisors (19513584).

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

10096776 is a wasteful number, since it uses less digits than its factorization.

10096776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 36.

The square root of 10096776 is about 3177.5424466087. The cubic root of 10096776 is about 216.1362309337.

The spelling of 10096776 in words is "ten million, ninety-six thousand, seven hundred seventy-six".