10768300 has 36 divisors (see below), whose sum is σ = 23514120. Its totient is φ = 4280320.

The previous prime is 10768283. The next prime is 10768313. The reversal of 10768300 is 386701.

10768300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25491 + ... + 25909.

It is an arithmetic number, because the mean of its divisors is an integer number (653170).

Almost surely, 2^10768300 is an apocalyptic number.

10768300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10768300 is an abundant number, since it is smaller than the sum of its proper divisors (12745820).

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

10768300 is a wasteful number, since it uses less digits than its factorization.

10768300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 690 (or 683 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 25.

The square root of 10768300 is about 3281.5087993178. The cubic root of 10768300 is about 220.8254116853.

The spelling of 10768300 in words is "ten million, seven hundred sixty-eight thousand, three hundred".