100010112 has 64 divisors (see below), whose sum is σ = 272870400. Its totient is φ = 32431104.

The previous prime is 100010107. The next prime is 100010143. The reversal of 100010112 is 211010001.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a self number, because there is not a number n which added to its sum of digits gives 100010112.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10689 + ... + 17727.

It is an arithmetic number, because the mean of its divisors is an integer number (4263600).

Almost surely, 2^100010112 is an apocalyptic number.

100010112 is a gapful number since it is divisible by the number (12) 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 100010112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136435200).

100010112 is an abundant number, since it is smaller than the sum of its proper divisors (172860288).

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

100010112 is an equidigital number, since it uses as much as digits as its factorization.

100010112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7093 (or 7081 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

The square root of 100010112 is about 10000.5055872191. The cubic root of 100010112 is about 464.1745280827.

Adding to 100010112 its reverse (211010001), we get a palindrome (311020113).

The spelling of 100010112 in words is "one hundred million, ten thousand, one hundred twelve".