100211814 has 48 divisors (see below), whose sum is σ = 231828480. Its totient is φ = 31192560.

The previous prime is 100211803. The next prime is 100211819. The reversal of 100211814 is 418112001.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100211819) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22219 + ... + 26345.

It is an arithmetic number, because the mean of its divisors is an integer number (4829760).

Almost surely, 2^100211814 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100211814, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115914240).

100211814 is an abundant number, since it is smaller than the sum of its proper divisors (131616666).

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

100211814 is a wasteful number, since it uses less digits than its factorization.

100211814 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4225 (or 4222 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

The square root of 100211814 is about 10010.5850977852. The cubic root of 100211814 is about 464.4863700815.

Adding to 100211814 its reverse (418112001), we get a palindrome (518323815).

It can be divided in two parts, 100211 and 814, that added together give a triangular number (101025 = T₄₄₉).

The spelling of 100211814 in words is "one hundred million, two hundred eleven thousand, eight hundred fourteen".