100213000 has 32 divisors (see below), whose sum is σ = 234500760. Its totient is φ = 40084800.

The previous prime is 100212997. The next prime is 100213007. The reversal of 100213000 is 312001.

It can be written as a sum of positive squares in 4 ways, for example, as 8168164 + 92044836 = 2858^2 + 9594^2 .

It is not an unprimeable number, because it can be changed into a prime (100213007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 49107 + ... + 51106.

Almost surely, 2^100213000 is an apocalyptic number.

100213000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100213000 is an abundant number, since it is smaller than the sum of its proper divisors (134287760).

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

100213000 is a wasteful number, since it uses less digits than its factorization.

100213000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100234 (or 100220 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 7.

The square root of 100213000 is about 10010.6443349067. The cubic root of 100213000 is about 464.4882024625.

Adding to 100213000 its reverse (312001), we get a palindrome (100525001).

Subtracting from 100213000 its reverse (312001), we obtain a palindrome (99900999).

The spelling of 100213000 in words is "one hundred million, two hundred thirteen thousand".