10801000 has 64 divisors (see below), whose sum is σ = 28903680. Its totient is φ = 3700800.

The previous prime is 10800997. The next prime is 10801009. The reversal of 10801000 is 10801.

10801000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (10801009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6229 + ... + 7771.

It is an arithmetic number, because the mean of its divisors is an integer number (451620).

Almost surely, 2^10801000 is an apocalyptic number.

10801000 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 10801000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14451840).

10801000 is an abundant number, since it is smaller than the sum of its proper divisors (18102680).

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

10801000 is a wasteful number, since it uses less digits than its factorization.

10801000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1571 (or 1557 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

The square root of 10801000 is about 3286.4874866641. The cubic root of 10801000 is about 221.0487119884.

Adding to 10801000 its reverse (10801), we get a palindrome (10811801).

10801000 divided by its reverse (10801) gives a cube (1000 = 10³).

It can be divided in two parts, 1080 and 1000, that added together give a triangular number (2080 = T₆₄).

The spelling of 10801000 in words is "ten million, eight hundred one thousand".