100647223816320 has 384 divisors, whose sum is σ = 363012596856000. Its totient is φ = 26646165762048.

The previous prime is 100647223816253. The next prime is 100647223816327. The reversal of 100647223816320 is 23618322746001.

100647223816320 is a `hidden beast` number, since 1 + 0 + 0 + 6 + 4 + 7 + 2 + 2 + 3 + 8 + 1 + 632 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (100647223816327) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19289346 + ... + 23945214.

Almost surely, 2^{100647223816320} is an apocalyptic number.

100647223816320 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 100647223816320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181506298428000).

100647223816320 is an abundant number, since it is smaller than the sum of its proper divisors (262365373039680).

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

100647223816320 is an equidigital number, since it uses as much as digits as its factorization.

100647223816320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4656042 (or 4656018 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 100647223816320 in words is "one hundred trillion, six hundred forty-seven billion, two hundred twenty-three million, eight hundred sixteen thousand, three hundred twenty".