100340000 has 120 divisors (see below), whose sum is σ = 256839660. Its totient is φ = 38528000.

The previous prime is 100339973. The next prime is 100340003. The reversal of 100340000 is 43001.

It can be written as a sum of positive squares in 10 ways, for example, as 99856 + 100240144 = 316^2 + 10012^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 100340000.

It is not an unprimeable number, because it can be changed into a prime (100340003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 579914 + ... + 580086.

Almost surely, 2^100340000 is an apocalyptic number.

100340000 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 100340000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128419830).

100340000 is an abundant number, since it is smaller than the sum of its proper divisors (156499660).

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

100340000 is an equidigital number, since it uses as much as digits as its factorization.

100340000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 8.

The square root of 100340000 is about 10016.9855745129. The cubic root of 100340000 is about 464.6843350330.

Adding to 100340000 its reverse (43001), we get a palindrome (100383001).

The spelling of 100340000 in words is "one hundred million, three hundred forty thousand".