100506644454720 has 2240 divisors, whose sum is σ = 411561272457216. Its totient is φ = 20684136775680.

The previous prime is 100506644454683. The next prime is 100506644454743. The reversal of 100506644454720 is 27454446605001.

It is a tau number, because it is divible by the number of its divisors (2240).

It is a super-2 number, since 2×100506644454720² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 100506644454720.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 117827249814 + ... + 117827250666.

Almost surely, 2^{100506644454720} is an apocalyptic number.

100506644454720 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 100506644454720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205780636228608).

100506644454720 is an abundant number, since it is smaller than the sum of its proper divisors (311054628002496).

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

100506644454720 is an equidigital number, since it uses as much as digits as its factorization.

100506644454720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1046 (or 1015 counting only the distinct ones).

The product of its (nonzero) digits is 3225600, while the sum is 48.

The spelling of 100506644454720 in words is "one hundred trillion, five hundred six billion, six hundred forty-four million, four hundred fifty-four thousand, seven hundred twenty".