10768100 has 36 divisors (see below), whose sum is σ = 26706624. Its totient is φ = 3691680.

The previous prime is 10768099. The next prime is 10768127. The reversal of 10768100 is 186701.

It is a super-4 number, since 4×10768100⁴ (a number of 29 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

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, 6992 + ... + 8391.

Almost surely, 2^10768100 is an apocalyptic number.

10768100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10768100 is an abundant number, since it is smaller than the sum of its proper divisors (15938524).

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

10768100 is a wasteful number, since it uses less digits than its factorization.

10768100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15404 (or 15397 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 23.

The square root of 10768100 is about 3281.4783253893. The cubic root of 10768100 is about 220.8240445442.

The spelling of 10768100 in words is "ten million, seven hundred sixty-eight thousand, one hundred".