100215126 has 96 divisors (see below), whose sum is σ = 253393920. Its totient is φ = 28324800.

The previous prime is 100215121. The next prime is 100215127. The reversal of 100215126 is 621512001.

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 = 100215099 and 100215108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100215121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 177721 + ... + 178283.

It is an arithmetic number, because the mean of its divisors is an integer number (2639520).

Almost surely, 2^100215126 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100215126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126696960).

100215126 is an abundant number, since it is smaller than the sum of its proper divisors (153178794).

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

100215126 is a wasteful number, since it uses less digits than its factorization.

100215126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 642 (or 639 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 100215126 is about 10010.7505213146. The cubic root of 100215126 is about 464.4914871159.

Adding to 100215126 its reverse (621512001), we get a palindrome (721727127).

The spelling of 100215126 in words is "one hundred million, two hundred fifteen thousand, one hundred twenty-six".