100130517984 has 96 divisors (see below), whose sum is σ = 300783732480. Its totient is φ = 28571369472.

The previous prime is 100130517943. The next prime is 100130518013. The reversal of 100130517984 is 489715031001.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×100130517984² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 419887 + ... + 613649.

It is an arithmetic number, because the mean of its divisors is an integer number (3133163880).

Almost surely, 2^100130517984 is an apocalyptic number.

100130517984 is a gapful number since it is divisible by the number (14) 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 100130517984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150391866240).

100130517984 is an abundant number, since it is smaller than the sum of its proper divisors (200653214496).

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

100130517984 is a wasteful number, since it uses less digits than its factorization.

100130517984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194552 (or 194544 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 39.

Adding to 100130517984 its reverse (489715031001), we get a palindrome (589845548985).

The spelling of 100130517984 in words is "one hundred billion, one hundred thirty million, five hundred seventeen thousand, nine hundred eighty-four".