100105061135079 has 32 divisors (see below), whose sum is σ = 179209060498944. Its totient is φ = 48002426916480.

The previous prime is 100105061135047. The next prime is 100105061135083. The reversal of 100105061135079 is 970531160501001.

It is not a de Polignac number, because 100105061135079 - 2⁵ = 100105061135047 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100105061135879) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16667506344 + ... + 16667512349.

It is an arithmetic number, because the mean of its divisors is an integer number (5600283140592).

Almost surely, 2^{100105061135079} is an apocalyptic number.

100105061135079 is a deficient number, since it is larger than the sum of its proper divisors (79103999363865).

100105061135079 is a wasteful number, since it uses less digits than its factorization.

100105061135079 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33335018727.

The product of its (nonzero) digits is 28350, while the sum is 39.

The spelling of 100105061135079 in words is "one hundred trillion, one hundred five billion, sixty-one million, one hundred thirty-five thousand, seventy-nine".