106126827873 has 16 divisors (see below), whose sum is σ = 155957704896. Its totient is φ = 63656202240.

The previous prime is 106126827871. The next prime is 106126827931. The reversal of 106126827873 is 378728621601.

It is not a de Polignac number, because 106126827873 - 2¹ = 106126827871 is a prime.

It is a super-3 number, since 3×106126827873³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (106126827871) 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, 16573936 + ... + 16580337.

It is an arithmetic number, because the mean of its divisors is an integer number (9747356556).

Almost surely, 2^106126827873 is an apocalyptic number.

It is an amenable number.

106126827873 is a deficient number, since it is larger than the sum of its proper divisors (49830877023).

106126827873 is a wasteful number, since it uses less digits than its factorization.

106126827873 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33154384.

The product of its (nonzero) digits is 1354752, while the sum is 51.

The spelling of 106126827873 in words is "one hundred six billion, one hundred twenty-six million, eight hundred twenty-seven thousand, eight hundred seventy-three".