100013022 has 64 divisors (see below), whose sum is σ = 229824000. Its totient is φ = 32218560.

The previous prime is 100013021. The next prime is 100013027. The reversal of 100013022 is 220310001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 100012995 and 100013013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100013021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 440473 + ... + 440699.

It is an arithmetic number, because the mean of its divisors is an integer number (3591000).

Almost surely, 2^100013022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100013022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114912000).

100013022 is an abundant number, since it is smaller than the sum of its proper divisors (129810978).

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

100013022 is a wasteful number, since it uses less digits than its factorization.

100013022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 100013022 is about 10000.6510788048. The cubic root of 100013022 is about 464.1790300767.

Adding to 100013022 its reverse (220310001), we get a palindrome (320323023).

The spelling of 100013022 in words is "one hundred million, thirteen thousand, twenty-two".