106506120016 has 40 divisors (see below), whose sum is σ = 222268001120. Its totient is φ = 49276999296.

The previous prime is 106506120001. The next prime is 106506120107. The reversal of 106506120016 is 610021605601.

It is a super-2 number, since 2×106506120016² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4060755 + ... + 4086898.

It is an arithmetic number, because the mean of its divisors is an integer number (5556700028).

Almost surely, 2^106506120016 is an apocalyptic number.

106506120016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

106506120016 is an abundant number, since it is smaller than the sum of its proper divisors (115761881104).

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

106506120016 is a wasteful number, since it uses less digits than its factorization.

106506120016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8147723 (or 8147717 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 28.

Adding to 106506120016 its reverse (610021605601), we get a palindrome (716527725617).

The spelling of 106506120016 in words is "one hundred six billion, five hundred six million, one hundred twenty thousand, sixteen".