105821289949126 has 16 divisors (see below), whose sum is σ = 165633586975584. Its totient is φ = 50610101612224.

The previous prime is 105821289949099. The next prime is 105821289949153. The reversal of 105821289949126 is 621949982128501.

It is an interprime number because it is at equal distance from previous prime (105821289949099) and next prime (105821289949153).

It is a super-2 number, since 2×105821289949126² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35637306 + ... + 38492338.

It is an arithmetic number, because the mean of its divisors is an integer number (10352099185974).

Almost surely, 2^{105821289949126} is an apocalyptic number.

105821289949126 is a deficient number, since it is larger than the sum of its proper divisors (59812297026458).

105821289949126 is a wasteful number, since it uses less digits than its factorization.

105821289949126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3660815.

The product of its (nonzero) digits is 44789760, while the sum is 67.

The spelling of 105821289949126 in words is "one hundred five trillion, eight hundred twenty-one billion, two hundred eighty-nine million, nine hundred forty-nine thousand, one hundred twenty-six".