106010105006 has 16 divisors (see below), whose sum is σ = 171268105344. Its totient is φ = 48921737184.

The previous prime is 106010104979. The next prime is 106010105059. The reversal of 106010105006 is 600501010601.

It is a happy number.

It is a super-3 number, since 3×106010105006³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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, 30545 + ... + 461468.

It is an arithmetic number, because the mean of its divisors is an integer number (10704256584).

Almost surely, 2^106010105006 is an apocalyptic number.

106010105006 is a deficient number, since it is larger than the sum of its proper divisors (65258000338).

106010105006 is a wasteful number, since it uses less digits than its factorization.

106010105006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 500315.

The product of its (nonzero) digits is 180, while the sum is 20.

Adding to 106010105006 its reverse (600501010601), we get a palindrome (706511115607).

The spelling of 106010105006 in words is "one hundred six billion, ten million, one hundred five thousand, six".