106560169680 has 40 divisors (see below), whose sum is σ = 330336526752. Its totient is φ = 28416045184.

The previous prime is 106560169679. The next prime is 106560169687. The reversal of 106560169680 is 86961065601.

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

It is a super-2 number, since 2×106560169680² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106560169687) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 222000114 + ... + 222000593.

Almost surely, 2^106560169680 is an apocalyptic number.

106560169680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106560169680 is an abundant number, since it is smaller than the sum of its proper divisors (223776357072).

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

106560169680 is a wasteful number, since it uses less digits than its factorization.

106560169680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444000723 (or 444000717 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 48.

The spelling of 106560169680 in words is "one hundred six billion, five hundred sixty million, one hundred sixty-nine thousand, six hundred eighty".