106687810160 has 80 divisors (see below), whose sum is σ = 251525865600. Its totient is φ = 42079623168.

The previous prime is 106687810147. The next prime is 106687810213. The reversal of 106687810160 is 61018786601.

It is a Cunningham number, because it is equal to 326631²-1.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×106687810160² (a number of 23 digits) contains 22 as substring.

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, 2592626 + ... + 2633454.

It is an arithmetic number, because the mean of its divisors is an integer number (3144073320).

Almost surely, 2^106687810160 is an apocalyptic number.

106687810160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106687810160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125762932800).

106687810160 is an abundant number, since it is smaller than the sum of its proper divisors (144838055440).

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

106687810160 is a wasteful number, since it uses less digits than its factorization.

106687810160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41298 (or 41292 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 44.

The spelling of 106687810160 in words is "one hundred six billion, six hundred eighty-seven million, eight hundred ten thousand, one hundred sixty".