100344000 has 224 divisors, whose sum is σ = 343302336. Its totient is φ = 25804800.

The previous prime is 100343927. The next prime is 100344007. The reversal of 100344000 is 443001.

It is a Harshad number since it is a multiple of its sum of digits (12).

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 31 ways as a sum of consecutive naturals, for example, 887944 + ... + 888056.

Almost surely, 2^100344000 is an apocalyptic number.

100344000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171651168).

100344000 is an abundant number, since it is smaller than the sum of its proper divisors (242958336).

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

100344000 is a wasteful number, since it uses less digits than its factorization.

100344000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 100344000 is about 10017.1852333877. The cubic root of 100344000 is about 464.6905097478.

Adding to 100344000 its reverse (443001), we get a palindrome (100787001).

Subtracting from 100344000 its reverse (443001), we obtain a palindrome (99900999).

The spelling of 100344000 in words is "one hundred million, three hundred forty-four thousand".