100011000 has 256 divisors, whose sum is σ = 345720960. Its totient is φ = 23961600.

The previous prime is 100010993. The next prime is 100011029. The reversal of 100011000 is 110001.

It is a Harshad number since it is a multiple of its sum of digits (3).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1886974 + ... + 1887026.

Almost surely, 2^100011000 is an apocalyptic number.

100011000 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 100011000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172860480).

100011000 is an abundant number, since it is smaller than the sum of its proper divisors (245709960).

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

100011000 is a wasteful number, since it uses less digits than its factorization.

100011000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 3.

The square root of 100011000 is about 10000.5499848758. The cubic root of 100011000 is about 464.1759018963.

Adding to 100011000 its reverse (110001), we get a palindrome (100121001).

Subtracting from 100011000 its reverse (110001), we obtain a palindrome (99900999).

The spelling of 100011000 in words is "one hundred million, eleven thousand".