100340104402400 has 144 divisors (see below), whose sum is σ = 246075592904064. Its totient is φ = 39952772052480.

The previous prime is 100340104402367. The next prime is 100340104402409. The reversal of 100340104402400 is 4204401043001.

It is a happy number.

It is a super-2 number, since 2×100340104402400² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100340104402409) 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 23 ways as a sum of consecutive naturals, for example, 218699639 + ... + 219157961.

It is an arithmetic number, because the mean of its divisors is an integer number (1708858284056).

Almost surely, 2^{100340104402400} is an apocalyptic number.

100340104402400 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 100340104402400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123037796452032).

100340104402400 is an abundant number, since it is smaller than the sum of its proper divisors (145735488501664).

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

100340104402400 is a wasteful number, since it uses less digits than its factorization.

100340104402400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459593 (or 459580 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

Adding to 100340104402400 its reverse (4204401043001), we get a palindrome (104544505445401).

The spelling of 100340104402400 in words is "one hundred trillion, three hundred forty billion, one hundred four million, four hundred two thousand, four hundred".