106106005056 has 112 divisors (see below), whose sum is σ = 284151628800. Its totient is φ = 34939441152.

The previous prime is 106106005021. The next prime is 106106005073. The reversal of 106106005056 is 650500601601.

It is a super-2 number, since 2×106106005056² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25510305 + ... + 25514463.

Almost surely, 2^106106005056 is an apocalyptic number.

106106005056 is a gapful number since it is divisible by the number (16) 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 106106005056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142075814400).

106106005056 is an abundant number, since it is smaller than the sum of its proper divisors (178045623744).

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

106106005056 is a wasteful number, since it uses less digits than its factorization.

106106005056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5756 (or 5746 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 30.

Adding to 106106005056 its reverse (650500601601), we get a palindrome (756606606657).

The spelling of 106106005056 in words is "one hundred six billion, one hundred six million, five thousand, fifty-six".