100105105116 has 48 divisors (see below), whose sum is σ = 235190850048. Its totient is φ = 33138168000.

The previous prime is 100105105073. The next prime is 100105105201. The reversal of 100105105116 is 611501501001.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 100105105092 and 100105105101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10397881 + ... + 10407503.

It is an arithmetic number, because the mean of its divisors is an integer number (4899809376).

Almost surely, 2^100105105116 is an apocalyptic number.

It is an amenable number.

100105105116 is an abundant number, since it is smaller than the sum of its proper divisors (135085744932).

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

100105105116 is a wasteful number, since it uses less digits than its factorization.

100105105116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15522 (or 15520 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 21.

Adding to 100105105116 its reverse (611501501001), we get a palindrome (711606606117).

The spelling of 100105105116 in words is "one hundred billion, one hundred five million, one hundred five thousand, one hundred sixteen".