100340224400 has 60 divisors (see below), whose sum is σ = 259611047892. Its totient is φ = 37048696320.

The previous prime is 100340224351. The next prime is 100340224403. The reversal of 100340224400 is 4422043001.

It can be written as a sum of positive squares in 6 ways, for example, as 37262897296 + 63077327104 = 193036^2 + 251152^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (100340224403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9642899 + ... + 9653298.

Almost surely, 2^100340224400 is an apocalyptic number.

100340224400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100340224400 is an abundant number, since it is smaller than the sum of its proper divisors (159270823492).

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

100340224400 is a wasteful number, since it uses less digits than its factorization.

100340224400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19296228 (or 19296217 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 100340224400 its reverse (4422043001), we get a palindrome (104762267401).

The spelling of 100340224400 in words is "one hundred billion, three hundred forty million, two hundred twenty-four thousand, four hundred".