100105061110005 has 16 divisors (see below), whose sum is σ = 183049254601344. Its totient is φ = 45762313650240.

The previous prime is 100105061109997. The next prime is 100105061110009. The reversal of 100105061110005 is 500011160501001.

It is a happy number.

It is not a de Polignac number, because 100105061110005 - 2³ = 100105061109997 is a prime.

It is a super-2 number, since 2×100105061110005² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100105061110009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 476690767086 + ... + 476690767295.

It is an arithmetic number, because the mean of its divisors is an integer number (11440578412584).

Almost surely, 2^{100105061110005} is an apocalyptic number.

100105061110005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

100105061110005 is a deficient number, since it is larger than the sum of its proper divisors (82944193491339).

100105061110005 is an equidigital number, since it uses as much as digits as its factorization.

100105061110005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 953381534396.

The product of its (nonzero) digits is 150, while the sum is 21.

The spelling of 100105061110005 in words is "one hundred trillion, one hundred five billion, sixty-one million, one hundred ten thousand, five".