100010208 has 48 divisors (see below), whose sum is σ = 265870080. Its totient is φ = 32912256.

The previous prime is 100010203. The next prime is 100010227. The reversal of 100010208 is 802010001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 100010193 and 100010202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100010203) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 991 + ... + 14177.

It is an arithmetic number, because the mean of its divisors is an integer number (5538960).

Almost surely, 2^100010208 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100010208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132935040).

100010208 is an abundant number, since it is smaller than the sum of its proper divisors (165859872).

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

100010208 is a wasteful number, since it uses less digits than its factorization.

100010208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13279 (or 13271 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 100010208 is about 10000.5103869753. The cubic root of 100010208 is about 464.1746766035.

Adding to 100010208 its reverse (802010001), we get a palindrome (902020209).

The spelling of 100010208 in words is "one hundred million, ten thousand, two hundred eight".