10001000 has 64 divisors (see below), whose sum is σ = 23896080. Its totient is φ = 3916800.

The previous prime is 10000993. The next prime is 10001009. The reversal of 10001000 is 10001.

It can be written as a sum of positive squares in 8 ways, for example, as 649636 + 9351364 = 806^2 + 3058^2 .

It is a sliding number, since 10001000 = 1000 + 10000000 and 1/1000 + 1/10000000 = 0.0010001000.

It is a Harshad number since it is a multiple of its sum of digits (2).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is not an unprimeable number, because it can be changed into a prime (10001009) 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, 72932 + ... + 73068.

Almost surely, 2^10001000 is an apocalyptic number.

10001000 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 10001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11948040).

10001000 is an abundant number, since it is smaller than the sum of its proper divisors (13895080).

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

10001000 is a wasteful number, since it uses less digits than its factorization.

10001000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 2.

The square root of 10001000 is about 3162.4357700987. The cubic root of 10001000 is about 215.4506502128.

Adding to 10001000 its reverse (10001), we get a palindrome (10011001).

Subtracting from 10001000 its reverse (10001), we obtain a palindrome (9990999).

10001000 divided by its reverse (10001) gives a cube (1000 = 10³).

The spelling of 10001000 in words is "ten million, one thousand".