100001000 has 64 divisors (see below), whose sum is σ = 255303360. Its totient is φ = 36360000.

The previous prime is 100000969. The next prime is 100001029. The reversal of 100001000 is 100001.

It is a sliding number, since 100001000 = 1000 + 100000000 and 1/1000 + 1/100000000 = 0.00100001000.

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 an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6455 + ... + 15545.

It is an arithmetic number, because the mean of its divisors is an integer number (3989115).

Almost surely, 2^100001000 is an apocalyptic number.

100001000 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 100001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127651680).

100001000 is an abundant number, since it is smaller than the sum of its proper divisors (155302360).

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

100001000 is a wasteful number, since it uses less digits than its factorization.

100001000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9123 (or 9109 counting only the distinct ones).

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

The square root of 100001000 is about 10000.0499998750. The cubic root of 100001000 is about 464.1604305524.

Adding to 100001000 its reverse (100001), we get a palindrome (100101001).

Subtracting from 100001000 its reverse (100001), we obtain a palindrome (99900999).

100001000 divided by its reverse (100001) gives a cube (1000 = 10³).

The spelling of 100001000 in words is "one hundred million, one thousand".