100105060105069 has 48 divisors (see below), whose sum is σ = 112510138060800. Its totient is φ = 88800924844800.

The previous prime is 100105060105049. The next prime is 100105060105087. The reversal of 100105060105069 is 960501060501001.

It is a de Polignac number, because none of the positive numbers 2^k-100105060105069 is a prime.

It is a super-2 number, since 2×100105060105069² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100105060105049) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3335597274 + ... + 3335627284.

It is an arithmetic number, because the mean of its divisors is an integer number (2343961209600).

Almost surely, 2^{100105060105069} is an apocalyptic number.

100105060105069 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

100105060105069 is a deficient number, since it is larger than the sum of its proper divisors (12405077955731).

100105060105069 is a wasteful number, since it uses less digits than its factorization.

100105060105069 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33154 (or 33137 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 34.

The spelling of 100105060105069 in words is "one hundred trillion, one hundred five billion, sixty million, one hundred five thousand, sixty-nine".