100105105000000 has 112 divisors (see below), whose sum is σ = 248306961402864. Its totient is φ = 40042040000000.

The previous prime is 100105104999983. The next prime is 100105105000001. The reversal of 100105105000000 is 501501001.

It can be written as a sum of positive squares in 8 ways, for example, as 85265721795136 + 14839383204864 = 9233944^2 + 3852192^2 .

It is a super-2 number, since 2×100105105000000² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100105105000001) by changing a digit.

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, 5010511 + ... + 15010510.

It is an arithmetic number, because the mean of its divisors is an integer number (2217026441097).

Almost surely, 2^{100105105000000} is an apocalyptic number.

100105105000000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100105105000000 is an abundant number, since it is smaller than the sum of its proper divisors (148201856402864).

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

100105105000000 is an frugal number, since it uses more digits than its factorization.

100105105000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20021068 (or 20021028 counting only the distinct ones).

The product of its (nonzero) digits is 25, while the sum is 13.

Adding to 100105105000000 its reverse (501501001), we get a palindrome (100105606501001).

The spelling of 100105105000000 in words is "one hundred trillion, one hundred five billion, one hundred five million", and thus it is an aban number.