106378856128881 has 16 divisors (see below), whose sum is σ = 180112349001600. Its totient is φ = 60787917787824.

The previous prime is 106378856128861. The next prime is 106378856129041. The reversal of 106378856128881 is 188821658873601.

106378856128881 is a `hidden beast` number, since 1 + 0 + 6 + 37 + 8 + 8 + 561 + 28 + 8 + 8 + 1 = 666.

It is not a de Polignac number, because 106378856128881 - 2¹⁰ = 106378856127857 is a prime.

It is a super-2 number, since 2×106378856128881² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106378856128861) 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, 281425545126 + ... + 281425545503.

It is an arithmetic number, because the mean of its divisors is an integer number (11257021812600).

Almost surely, 2^{106378856128881} is an apocalyptic number.

It is an amenable number.

106378856128881 is a deficient number, since it is larger than the sum of its proper divisors (73733492872719).

106378856128881 is an equidigital number, since it uses as much as digits as its factorization.

106378856128881 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 562851090645 (or 562851090639 counting only the distinct ones).

The product of its (nonzero) digits is 247726080, while the sum is 72.

The spelling of 106378856128881 in words is "one hundred six trillion, three hundred seventy-eight billion, eight hundred fifty-six million, one hundred twenty-eight thousand, eight hundred eighty-one".