100211104 has 48 divisors (see below), whose sum is σ = 228686976. Its totient is φ = 42336000.

The previous prime is 100211101. The next prime is 100211117. The reversal of 100211104 is 401112001.

It is not an unprimeable number, because it can be changed into a prime (100211101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12754 + ... + 19054.

It is an arithmetic number, because the mean of its divisors is an integer number (4764312).

Almost surely, 2^100211104 is an apocalyptic number.

100211104 is a gapful number since it is divisible by the number (14) 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 100211104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114343488).

100211104 is an abundant number, since it is smaller than the sum of its proper divisors (128475872).

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

100211104 is an equidigital number, since it uses as much as digits as its factorization.

100211104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6389 (or 6381 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

The square root of 100211104 is about 10010.5496352598. The cubic root of 100211104 is about 464.4852731180.

Adding to 100211104 its reverse (401112001), we get a palindrome (501323105).

The spelling of 100211104 in words is "one hundred million, two hundred eleven thousand, one hundred four".