106560656510550 has 96 divisors (see below), whose sum is σ = 292355505978624. Its totient is φ = 25469042928000.

The previous prime is 106560656510543. The next prime is 106560656510551. The reversal of 106560656510550 is 55015656065601.

It is a super-2 number, since 2×106560656510550² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106560656510493 and 106560656510502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106560656510551) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 454687189 + ... + 454921488.

It is an arithmetic number, because the mean of its divisors is an integer number (3045369853944).

Almost surely, 2^{106560656510550} is an apocalyptic number.

106560656510550 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106560656510550 is an abundant number, since it is smaller than the sum of its proper divisors (185794849468074).

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

106560656510550 is a wasteful number, since it uses less digits than its factorization.

106560656510550 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 909608774 (or 909608769 counting only the distinct ones).

The product of its (nonzero) digits is 4050000, while the sum is 51.

The spelling of 106560656510550 in words is "one hundred six trillion, five hundred sixty billion, six hundred fifty-six million, five hundred ten thousand, five hundred fifty".