105164959929 has 16 divisors (see below), whose sum is σ = 147805286400. Its totient is φ = 66327570576.

The previous prime is 105164959871. The next prime is 105164959937. The reversal of 105164959929 is 929959461501.

It is not a de Polignac number, because 105164959929 - 2¹³ = 105164951737 is a prime.

It is a super-2 number, since 2×105164959929² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105164959979) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1242049 + ... + 1324014.

It is an arithmetic number, because the mean of its divisors is an integer number (9237830400).

Almost surely, 2^105164959929 is an apocalyptic number.

105164959929 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

105164959929 is a deficient number, since it is larger than the sum of its proper divisors (42640326471).

105164959929 is a wasteful number, since it uses less digits than its factorization.

105164959929 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2566804.

The product of its (nonzero) digits is 7873200, while the sum is 60.

The spelling of 105164959929 in words is "one hundred five billion, one hundred sixty-four million, nine hundred fifty-nine thousand, nine hundred twenty-nine".