100105050009936 has 40 divisors (see below), whose sum is σ = 258609932165920. Its totient is φ = 33367676501376.

The previous prime is 100105050009931. The next prime is 100105050009953. The reversal of 100105050009936 is 639900050501001.

It is a junction number, because it is equal to n+sod(n) for n = 100105050009894 and 100105050009903.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100105050009931) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18641191 + ... + 23403078.

It is an arithmetic number, because the mean of its divisors is an integer number (6465248304148).

Almost surely, 2^{100105050009936} is an apocalyptic number.

100105050009936 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

100105050009936 is an abundant number, since it is smaller than the sum of its proper divisors (158504882155984).

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

100105050009936 is a wasteful number, since it uses less digits than its factorization.

100105050009936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42093883 (or 42093877 counting only the distinct ones).

The product of its (nonzero) digits is 36450, while the sum is 39.

The spelling of 100105050009936 in words is "one hundred trillion, one hundred five billion, fifty million, nine thousand, nine hundred thirty-six".