10104768 has 84 divisors (see below), whose sum is σ = 29599128. Its totient is φ = 3294720.

The previous prime is 10104761. The next prime is 10104779. The reversal of 10104768 is 86740101.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10104761) 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 11 ways as a sum of consecutive naturals, for example, 30363 + ... + 30693.

Almost surely, 2^10104768 is an apocalyptic number.

10104768 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 10104768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14799564).

10104768 is an abundant number, since it is smaller than the sum of its proper divisors (19494360).

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

10104768 is a wasteful number, since it uses less digits than its factorization.

10104768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 10104768 is about 3178.7997734994. The cubic root of 10104768 is about 216.1932427032.

Adding to 10104768 its reverse (86740101), we get a palindrome (96844869).

It can be divided in two parts, 1010476 and 8, that multiplied together give a palindrome (8083808).

The spelling of 10104768 in words is "ten million, one hundred four thousand, seven hundred sixty-eight".