100005010096 has 40 divisors (see below), whose sum is σ = 210990625200. Its totient is φ = 45737314560.

The previous prime is 100005010069. The next prime is 100005010109. The reversal of 100005010096 is 690010500001.

It is a super-3 number, since 3×100005010096³ (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 7 ways as a sum of consecutive naturals, for example, 5662975 + ... + 5680606.

It is an arithmetic number, because the mean of its divisors is an integer number (5274765630).

Almost surely, 2^100005010096 is an apocalyptic number.

100005010096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

100005010096 is an abundant number, since it is smaller than the sum of its proper divisors (110985615104).

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

100005010096 is a wasteful number, since it uses less digits than its factorization.

100005010096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11343637 (or 11343631 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 22.

Adding to 100005010096 its reverse (690010500001), we get a palindrome (790015510097).

The spelling of 100005010096 in words is "one hundred billion, five million, ten thousand, ninety-six".