10971000 has 192 divisors, whose sum is σ = 39424320. Its totient is φ = 2745600.

The previous prime is 10970987. The next prime is 10971013. The reversal of 10971000 is 17901.

It is an interprime number because it is at equal distance from previous prime (10970987) and next prime (10971013).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 206974 + ... + 207026.

It is an arithmetic number, because the mean of its divisors is an integer number (205335).

Almost surely, 2^10971000 is an apocalyptic number.

10971000 is a gapful number since it is divisible by the number (10) 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 10971000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19712160).

10971000 is an abundant number, since it is smaller than the sum of its proper divisors (28453320).

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

10971000 is a wasteful number, since it uses less digits than its factorization.

10971000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 63, while the sum is 18.

The square root of 10971000 is about 3312.2499905653. The cubic root of 10971000 is about 222.2023963794.

Adding to 10971000 its reverse (17901), we get a palindrome (10988901).

The spelling of 10971000 in words is "ten million, nine hundred seventy-one thousand".