100300545152 has 64 divisors (see below), whose sum is σ = 210096876600. Its totient is φ = 47627059200.

The previous prime is 100300545127. The next prime is 100300545209. The reversal of 100300545152 is 251545003001.

It can be written as a sum of positive squares in 4 ways, for example, as 24578714176 + 75721830976 = 156776^2 + 275176^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-4 number, since 4×100300545152⁴ (a number of 45 digits) contains 4444 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4952 + ... + 447912.

Almost surely, 2^100300545152 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 100300545152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105048438300).

100300545152 is an abundant number, since it is smaller than the sum of its proper divisors (109796331448).

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

100300545152 is an equidigital number, since it uses as much as digits as its factorization.

100300545152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 443065 (or 443053 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 26.

Adding to 100300545152 its reverse (251545003001), we get a palindrome (351845548153).

The spelling of 100300545152 in words is "one hundred billion, three hundred million, five hundred forty-five thousand, one hundred fifty-two".