100343664 has 80 divisors (see below), whose sum is σ = 300576000. Its totient is φ = 31990464.

The previous prime is 100343653. The next prime is 100343669. The reversal of 100343664 is 466343001.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100343669) 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 15 ways as a sum of consecutive naturals, for example, 4887 + ... + 14985.

It is an arithmetic number, because the mean of its divisors is an integer number (3757200).

Almost surely, 2^100343664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100343664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150288000).

100343664 is an abundant number, since it is smaller than the sum of its proper divisors (200232336).

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

100343664 is a wasteful number, since it uses less digits than its factorization.

100343664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10139 (or 10127 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 100343664 is about 10017.1684621953. The cubic root of 100343664 is about 464.6899910781.

Adding to 100343664 its reverse (466343001), we get a palindrome (566686665).

The spelling of 100343664 in words is "one hundred million, three hundred forty-three thousand, six hundred sixty-four".