100726747544128 has 56 divisors (see below), whose sum is σ = 202311658916640. Its totient is φ = 49750724490240.

The previous prime is 100726747544123. The next prime is 100726747544147. The reversal of 100726747544128 is 821445747627001.

It is not an unprimeable number, because it can be changed into a prime (100726747544123) 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 7 ways as a sum of consecutive naturals, for example, 44150883 + ... + 46376221.

It is an arithmetic number, because the mean of its divisors is an integer number (3612708194940).

Almost surely, 2^{100726747544128} 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 100726747544128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101155829458320).

100726747544128 is an abundant number, since it is smaller than the sum of its proper divisors (101584911372512).

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

100726747544128 is an equidigital number, since it uses as much as digits as its factorization.

100726747544128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2233955 (or 2233945 counting only the distinct ones).

The product of its (nonzero) digits is 21073920, while the sum is 58.

The spelling of 100726747544128 in words is "one hundred trillion, seven hundred twenty-six billion, seven hundred forty-seven million, five hundred forty-four thousand, one hundred twenty-eight".