105618067687029 has 16 divisors (see below), whose sum is σ = 141451265696832. Its totient is φ = 70099021918848.

The previous prime is 105618067687021. The next prime is 105618067687037. The reversal of 105618067687029 is 920786760816501.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (105618067687021) and next prime (105618067687037).

It is not a de Polignac number, because 105618067687029 - 2³ = 105618067687021 is a prime.

It is a super-2 number, since 2×105618067687029² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105618067687021) 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, 69815799 + ... + 71312564.

It is an arithmetic number, because the mean of its divisors is an integer number (8840704106052).

Almost surely, 2^{105618067687029} is an apocalyptic number.

It is an amenable number.

105618067687029 is a deficient number, since it is larger than the sum of its proper divisors (35833198009803).

105618067687029 is a wasteful number, since it uses less digits than its factorization.

105618067687029 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141129476.

The product of its (nonzero) digits is 60963840, while the sum is 66.

The spelling of 105618067687029 in words is "one hundred five trillion, six hundred eighteen billion, sixty-seven million, six hundred eighty-seven thousand, twenty-nine".