100344006 has 48 divisors (see below), whose sum is σ = 250327584. Its totient is φ = 28455552.

The previous prime is 100343927. The next prime is 100344007. The reversal of 100344006 is 600443001.

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

It is a self number, because there is not a number n which added to its sum of digits gives 100344006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100344007) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14356 + ... + 20168.

It is an arithmetic number, because the mean of its divisors is an integer number (5215158).

Almost surely, 2^100344006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100344006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125163792).

100344006 is an abundant number, since it is smaller than the sum of its proper divisors (149983578).

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

100344006 is a wasteful number, since it uses less digits than its factorization.

100344006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5965 (or 5962 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 100344006 is about 10017.1855328730. The cubic root of 100344006 is about 464.6905190098.

Adding to 100344006 its reverse (600443001), we get a palindrome (700787007).

The spelling of 100344006 in words is "one hundred million, three hundred forty-four thousand, six".