100549873216 has 63 divisors (see below), whose sum is σ = 216128540691. Its totient is φ = 46392413184.

The previous prime is 100549873181. The next prime is 100549873289. The reversal of 100549873216 is 612378945001.

The square root of 100549873216 is 317096.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 55903873600 + 44645999616 = 236440^2 + 211296^2 .

It is a super-2 number, since 2×100549873216² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 32976460 + ... + 32979508.

It is an arithmetic number, because the mean of its divisors is an integer number (3430611757).

It is a 1-persistent number, because it is pandigital, but 2⋅100549873216 = 201099746432 is not.

Almost surely, 2^100549873216 is an apocalyptic number.

100549873216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

100549873216 is the 317096-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100549873216

100549873216 is an abundant number, since it is smaller than the sum of its proper divisors (115578667475).

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

100549873216 is an frugal number, since it uses more digits than its factorization.

100549873216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6136 (or 3064 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 46.

The spelling of 100549873216 in words is "one hundred billion, five hundred forty-nine million, eight hundred seventy-three thousand, two hundred sixteen".