10971136 has 48 divisors (see below), whose sum is σ = 23980320. Its totient is φ = 4976640.

The previous prime is 10971101. The next prime is 10971143. The reversal of 10971136 is 63117901.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 22285 + ... + 22771.

It is an arithmetic number, because the mean of its divisors is an integer number (499590).

Almost surely, 2^10971136 is an apocalyptic number.

10971136 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 10971136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11990160).

10971136 is an abundant number, since it is smaller than the sum of its proper divisors (13009184).

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

10971136 is an equidigital number, since it uses as much as digits as its factorization.

10971136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 520 (or 500 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 28.

The square root of 10971136 is about 3312.2705203531. The cubic root of 10971136 is about 222.2033145394.

Adding to 10971136 its product of nonzero digits (1134), we get a triangular number (10972270 = T₄₆₈₄).

The spelling of 10971136 in words is "ten million, nine hundred seventy-one thousand, one hundred thirty-six".