100300950160 has 80 divisors (see below), whose sum is σ = 234479211120. Its totient is φ = 39900856320.

The previous prime is 100300950133. The next prime is 100300950203. The reversal of 100300950160 is 61059003001.

It can be written as a sum of positive squares in 8 ways, for example, as 7894677904 + 92406272256 = 88852^2 + 303984^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×100300950160³ (a number of 34 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11539096 + ... + 11547784.

It is an arithmetic number, because the mean of its divisors is an integer number (2930990139).

Almost surely, 2^100300950160 is an apocalyptic number.

100300950160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100300950160 is an abundant number, since it is smaller than the sum of its proper divisors (134178260960).

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

100300950160 is a wasteful number, since it uses less digits than its factorization.

100300950160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9476 (or 9470 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 25.

Adding to 100300950160 its reverse (61059003001), we get a palindrome (161359953161).

The spelling of 100300950160 in words is "one hundred billion, three hundred million, nine hundred fifty thousand, one hundred sixty".