100105061050105 has 32 divisors (see below), whose sum is σ = 120946746003840. Its totient is φ = 79537637145600.

The previous prime is 100105061050097. The next prime is 100105061050153. The reversal of 100105061050105 is 501050160501001.

It is not a de Polignac number, because 100105061050105 - 2³ = 100105061050097 is a prime.

It is a super-2 number, since 2×100105061050105² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 100105061050105.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9106249489 + ... + 9106260481.

It is an arithmetic number, because the mean of its divisors is an integer number (3779585812620).

Almost surely, 2^{100105061050105} is an apocalyptic number.

It is an amenable number.

100105061050105 is a deficient number, since it is larger than the sum of its proper divisors (20841684953735).

100105061050105 is a wasteful number, since it uses less digits than its factorization.

100105061050105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17881.

The product of its (nonzero) digits is 750, while the sum is 25.

The spelling of 100105061050105 in words is "one hundred trillion, one hundred five billion, sixty-one million, fifty thousand, one hundred five".