100414310320 has 40 divisors (see below), whose sum is σ = 239157505440. Its totient is φ = 39186071040.

The previous prime is 100414310291. The next prime is 100414310369. The reversal of 100414310320 is 23013414001.

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 15303780 + ... + 15310339.

It is an arithmetic number, because the mean of its divisors is an integer number (5978937636).

Almost surely, 2^100414310320 is an apocalyptic number.

100414310320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100414310320 is an abundant number, since it is smaller than the sum of its proper divisors (138743195120).

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

100414310320 is a wasteful number, since it uses less digits than its factorization.

100414310320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30614173 (or 30614167 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 100414310320 its reverse (23013414001), we get a palindrome (123427724321).

The spelling of 100414310320 in words is "one hundred billion, four hundred fourteen million, three hundred ten thousand, three hundred twenty".