106005505100056 has 16 divisors (see below), whose sum is σ = 198796283846640. Its totient is φ = 52993162740960.

The previous prime is 106005505100039. The next prime is 106005505100059. The reversal of 106005505100056 is 650001505500601.

It is a super-2 number, since 2×106005505100056² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106005505099994 and 106005505100030.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106005505100059) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1198679155 + ... + 1198767586.

It is an arithmetic number, because the mean of its divisors is an integer number (12424767740415).

Almost surely, 2^{106005505100056} is an apocalyptic number.

It is an amenable number.

106005505100056 is a deficient number, since it is larger than the sum of its proper divisors (92790778746584).

106005505100056 is a wasteful number, since it uses less digits than its factorization.

106005505100056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2397452274 (or 2397452270 counting only the distinct ones).

The product of its (nonzero) digits is 22500, while the sum is 34.

The spelling of 106005505100056 in words is "one hundred six trillion, five billion, five hundred five million, one hundred thousand, fifty-six".