105681908678080 has 112 divisors (see below), whose sum is σ = 297523206141120. Its totient is φ = 34984355954688.

The previous prime is 105681908678057. The next prime is 105681908678131. The reversal of 105681908678080 is 80876809186501.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×105681908678080² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105681908677997 and 105681908678015.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 813373377 + ... + 813503296.

Almost surely, 2^{105681908678080} is an apocalyptic number.

105681908678080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105681908678080 is an abundant number, since it is smaller than the sum of its proper divisors (191841297463040).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105681908678080 is a wasteful number, since it uses less digits than its factorization.

105681908678080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1626876726 (or 1626876716 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 67.

The spelling of 105681908678080 in words is "one hundred five trillion, six hundred eighty-one billion, nine hundred eight million, six hundred seventy-eight thousand, eighty".