105006828873 has 16 divisors (see below), whose sum is σ = 141555825216. Its totient is φ = 69232766400.

The previous prime is 105006828869. The next prime is 105006828889. The reversal of 105006828873 is 378828600501.

It is not a de Polignac number, because 105006828873 - 2² = 105006828869 is a prime.

It is a super-2 number, since 2×105006828873² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105006828473) 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 15 ways as a sum of consecutive naturals, for example, 71311 + ... + 463787.

It is an arithmetic number, because the mean of its divisors is an integer number (8847239076).

Almost surely, 2^105006828873 is an apocalyptic number.

It is an amenable number.

105006828873 is a deficient number, since it is larger than the sum of its proper divisors (36548996343).

105006828873 is a wasteful number, since it uses less digits than its factorization.

105006828873 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393464.

The product of its (nonzero) digits is 645120, while the sum is 48.

The spelling of 105006828873 in words is "one hundred five billion, six million, eight hundred twenty-eight thousand, eight hundred seventy-three".