100320414444 has 72 divisors (see below), whose sum is σ = 262483799760. Its totient is φ = 32268362112.

The previous prime is 100320414437. The next prime is 100320414479. The reversal of 100320414444 is 444414023001.

100320414444 is a `hidden beast` number, since 1 + 0 + 0 + 3 + 204 + 14 + 444 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1838742 + ... + 1892514.

It is an arithmetic number, because the mean of its divisors is an integer number (3645608330).

Almost surely, 2^100320414444 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100320414444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131241899880).

100320414444 is an abundant number, since it is smaller than the sum of its proper divisors (162163385316).

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

100320414444 is a wasteful number, since it uses less digits than its factorization.

100320414444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55599 (or 55594 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 100320414444 its reverse (444414023001), we get a palindrome (544734437445).

The spelling of 100320414444 in words is "one hundred billion, three hundred twenty million, four hundred fourteen thousand, four hundred forty-four".