106056106100560 has 80 divisors (see below), whose sum is σ = 307424972506752. Its totient is φ = 33056448652800.

The previous prime is 106056106100491. The next prime is 106056106100569. The reversal of 106056106100560 is 65001601650601.

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

It is a super-2 number, since 2×106056106100560² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106056106100569) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8608444011 + ... + 8608456330.

Almost surely, 2^{106056106100560} is an apocalyptic number.

106056106100560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106056106100560 is an abundant number, since it is smaller than the sum of its proper divisors (201368866406192).

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

106056106100560 is a wasteful number, since it uses less digits than its factorization.

106056106100560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17216900372 (or 17216900366 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 37.

The spelling of 106056106100560 in words is "one hundred six trillion, fifty-six billion, one hundred six million, one hundred thousand, five hundred sixty".