10111968 has 36 divisors (see below), whose sum is σ = 28756728. Its totient is φ = 3370560.

The previous prime is 10111949. The next prime is 10111993. The reversal of 10111968 is 86911101.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

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 5 ways as a sum of consecutive naturals, for example, 17268 + ... + 17843.

It is an arithmetic number, because the mean of its divisors is an integer number (798798).

Almost surely, 2^10111968 is an apocalyptic number.

10111968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

10111968 is an abundant number, since it is smaller than the sum of its proper divisors (18644760).

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

10111968 is a wasteful number, since it uses less digits than its factorization.

10111968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35127 (or 35116 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 27.

The square root of 10111968 is about 3179.9320747463. The cubic root of 10111968 is about 216.2445789234.

Adding to 10111968 its product of nonzero digits (432), we get a square (10112400 = 3180²).

The spelling of 10111968 in words is "ten million, one hundred eleven thousand, nine hundred sixty-eight".