106704555705560 has 128 divisors (see below), whose sum is σ = 248411058215040. Its totient is φ = 41222705664000.

The previous prime is 106704555705497. The next prime is 106704555705563. The reversal of 106704555705560 is 65507555407601.

It is a super-2 number, since 2×106704555705560² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106704555705496 and 106704555705505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106704555705563) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1284827957 + ... + 1284911003.

It is an arithmetic number, because the mean of its divisors is an integer number (1940711392305).

Almost surely, 2^{106704555705560} is an apocalyptic number.

106704555705560 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 106704555705560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124205529107520).

106704555705560 is an abundant number, since it is smaller than the sum of its proper divisors (141706502509480).

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

106704555705560 is a wasteful number, since it uses less digits than its factorization.

106704555705560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90957 (or 90953 counting only the distinct ones).

The product of its (nonzero) digits is 22050000, while the sum is 56.

The spelling of 106704555705560 in words is "one hundred six trillion, seven hundred four billion, five hundred fifty-five million, seven hundred five thousand, five hundred sixty".