106678252681 has 64 divisors (see below), whose sum is σ = 144466882560. Its totient is φ = 76073276160.

The previous prime is 106678252657. The next prime is 106678252711. The reversal of 106678252681 is 186252876601.

It is a happy number.

It is not a de Polignac number, because 106678252681 - 2⁷ = 106678252553 is a prime.

It is a super-2 number, since 2×106678252681² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106678252601) 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 63 ways as a sum of consecutive naturals, for example, 68426580 + ... + 68428138.

It is an arithmetic number, because the mean of its divisors is an integer number (2257295040).

Almost surely, 2^106678252681 is an apocalyptic number.

106678252681 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

106678252681 is a deficient number, since it is larger than the sum of its proper divisors (37788629879).

106678252681 is a wasteful number, since it uses less digits than its factorization.

106678252681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2134.

The product of its (nonzero) digits is 1935360, while the sum is 52.

The spelling of 106678252681 in words is "one hundred six billion, six hundred seventy-eight million, two hundred fifty-two thousand, six hundred eighty-one".