10971936 has 144 divisors (see below), whose sum is σ = 34673184. Its totient is φ = 3400704.

The previous prime is 10971931. The next prime is 10971959. The reversal of 10971936 is 63917901.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 10971936.

It is not an unprimeable number, because it can be changed into a prime (10971931) 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 23 ways as a sum of consecutive naturals, for example, 132151 + ... + 132233.

It is an arithmetic number, because the mean of its divisors is an integer number (240786).

Almost surely, 2^10971936 is an apocalyptic number.

10971936 is a gapful number since it is divisible by the number (16) 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 10971936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17336592).

10971936 is an abundant number, since it is smaller than the sum of its proper divisors (23701248).

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

10971936 is an equidigital number, since it uses as much as digits as its factorization.

10971936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 10206, while the sum is 36.

The square root of 10971936 is about 3312.3912812348. The cubic root of 10971936 is about 222.2087153272.

The spelling of 10971936 in words is "ten million, nine hundred seventy-one thousand, nine hundred thirty-six".