105116502029 has 8 divisors (see below), whose sum is σ = 131054340288. Its totient is φ = 81908962560.

The previous prime is 105116502011. The next prime is 105116502047. The reversal of 105116502029 is 920205611501.

It is an interprime number because it is at equal distance from previous prime (105116502011) and next prime (105116502047).

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 105116502029 - 2³⁶ = 36397025293 is a prime.

It is a super-2 number, since 2×105116502029² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 105116501986 and 105116502004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105116502529) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 682574612 + ... + 682574765.

It is an arithmetic number, because the mean of its divisors is an integer number (16381792536).

Almost surely, 2^105116502029 is an apocalyptic number.

It is an amenable number.

105116502029 is a deficient number, since it is larger than the sum of its proper divisors (25937838259).

105116502029 is a wasteful number, since it uses less digits than its factorization.

105116502029 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1365149395.

The product of its (nonzero) digits is 5400, while the sum is 32.

The spelling of 105116502029 in words is "one hundred five billion, one hundred sixteen million, five hundred two thousand, twenty-nine".