100105061051105 has 32 divisors (see below), whose sum is σ = 134251225718400. Its totient is φ = 71023567910400.

The previous prime is 100105061051081. The next prime is 100105061051251. The reversal of 100105061051105 is 501150160501001.

It is not a de Polignac number, because 100105061051105 - 2⁸ = 100105061050849 is a prime.

It is a super-3 number, since 3×100105061051105³ (a number of 43 digits) contains 333 as substring.

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 31 ways as a sum of consecutive naturals, for example, 35135126 + ... + 37877264.

It is an arithmetic number, because the mean of its divisors is an integer number (4195350803700).

Almost surely, 2^{100105061051105} is an apocalyptic number.

It is an amenable number.

100105061051105 is a deficient number, since it is larger than the sum of its proper divisors (34146164667295).

100105061051105 is a wasteful number, since it uses less digits than its factorization.

100105061051105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2758385.

The product of its (nonzero) digits is 750, while the sum is 26.

The spelling of 100105061051105 in words is "one hundred trillion, one hundred five billion, sixty-one million, fifty-one thousand, one hundred five".