100012626 has 96 divisors (see below), whose sum is σ = 256838400. Its totient is φ = 28111104.

The previous prime is 100012621. The next prime is 100012651. The reversal of 100012626 is 626210001.

It is a happy number.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 100012599 and 100012608.

It is not an unprimeable number, because it can be changed into a prime (100012621) 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 47 ways as a sum of consecutive naturals, for example, 598795 + ... + 598961.

It is an arithmetic number, because the mean of its divisors is an integer number (2675400).

Almost surely, 2^100012626 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100012626, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128419200).

100012626 is an abundant number, since it is smaller than the sum of its proper divisors (156825774).

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

100012626 is a wasteful number, since it uses less digits than its factorization.

100012626 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 100012626 is about 10000.6312800743. The cubic root of 100012626 is about 464.1784174394.

Adding to 100012626 its reverse (626210001), we get a palindrome (726222627).

The spelling of 100012626 in words is "one hundred million, twelve thousand, six hundred twenty-six".