10050768 has 180 divisors, whose sum is σ = 35399520. Its totient is φ = 2605824.

The previous prime is 10050767. The next prime is 10050769. The reversal of 10050768 is 86705001.

It is an interprime number because it is at equal distance from previous prime (10050767) and next prime (10050769).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10050767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 170323 + ... + 170381.

It is an arithmetic number, because the mean of its divisors is an integer number (196664).

Almost surely, 2^10050768 is an apocalyptic number.

10050768 is a gapful number since it is divisible by the number (18) 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 10050768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17699760).

10050768 is an abundant number, since it is smaller than the sum of its proper divisors (25348752).

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

10050768 is a wasteful number, since it uses less digits than its factorization.

10050768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 10050768 is about 3170.2946235326. The cubic root of 10050768 is about 215.8074415588.

Adding to 10050768 its reverse (86705001), we get a palindrome (96755769).

The spelling of 10050768 in words is "ten million, fifty thousand, seven hundred sixty-eight".