106331216560 has 40 divisors (see below), whose sum is σ = 247446881136. Its totient is φ = 42493466880.

The previous prime is 106331216549. The next prime is 106331216569. The reversal of 106331216560 is 65612133601.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×106331216560² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106331216569) 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 7 ways as a sum of consecutive naturals, for example, 521859 + ... + 696418.

Almost surely, 2^106331216560 is an apocalyptic number.

106331216560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106331216560 is an abundant number, since it is smaller than the sum of its proper divisors (141115664576).

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

106331216560 is a wasteful number, since it uses less digits than its factorization.

106331216560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1219381 (or 1219375 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 34.

The spelling of 106331216560 in words is "one hundred six billion, three hundred thirty-one million, two hundred sixteen thousand, five hundred sixty".