10901000 has 64 divisors (see below), whose sum is σ = 27855360. Its totient is φ = 3960000.

The previous prime is 10900999. The next prime is 10901027. The reversal of 10901000 is 10901.

It is a Harshad number since it is a multiple of its sum of digits (11).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10505 + ... + 11495.

It is an arithmetic number, because the mean of its divisors is an integer number (435240).

Almost surely, 2^10901000 is an apocalyptic number.

10901000 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 10901000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13927680).

10901000 is an abundant number, since it is smaller than the sum of its proper divisors (16954360).

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

10901000 is a wasteful number, since it uses less digits than its factorization.

10901000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1023 (or 1009 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 11.

The square root of 10901000 is about 3301.6662460037. Note that the first 3 decimals coincide. The cubic root of 10901000 is about 221.7288033793.

Adding to 10901000 its reverse (10901), we get a palindrome (10911901).

10901000 divided by its reverse (10901) gives a cube (1000 = 10³).

The spelling of 10901000 in words is "ten million, nine hundred one thousand".