100010000 has 100 divisors (see below), whose sum is σ = 247242732. Its totient is φ = 39168000.

The previous prime is 100009979. The next prime is 100010017. The reversal of 100010000 is 10001.

Added to its reverse (10001) it gives a square (100020001 = 10001²).

It can be written as a sum of positive squares in 10 ways, for example, as 70023424 + 29986576 = 8368^2 + 5476^2 .

It is a sliding number, since 100010000 = 10000 + 100000000 and 1/10000 + 1/100000000 = 0.000100010000.

It is a tau number, because it is divible by the number of its divisors (100).

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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 729932 + ... + 730068.

Almost surely, 2^100010000 is an apocalyptic number.

100010000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a pronic number, being equal to 10000×10001.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123621366).

100010000 is an abundant number, since it is smaller than the sum of its proper divisors (147232732).

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

100010000 is an equidigital number, since it uses as much as digits as its factorization.

100010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 217 counting only the distinct ones).

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

The square root of 100010000 is about 10000.4999875006. The cubic root of 100010000 is about 464.1743548084.

Adding to 100010000 its reverse (10001), we get a palindrome (100020001).

Subtracting from 100010000 its reverse (10001), we obtain a palindrome (99999999).

Multiplying 100010000 by its reverse (10001), we get a square (1000200010000 = 1000100²).

100010000 divided by its reverse (10001) gives a 4-th power (10000 = 10⁴).

The spelling of 100010000 in words is "one hundred million, ten thousand".