106557120105 has 32 divisors (see below), whose sum is σ = 180747660288. Its totient is φ = 53510803200.

The previous prime is 106557120053. The next prime is 106557120133. The reversal of 106557120105 is 501021755601.

It is a happy number.

It is not a de Polignac number, because 106557120105 - 2⁶ = 106557120041 is a prime.

It is a super-3 number, since 3×106557120105³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3079486 + ... + 3113895.

It is an arithmetic number, because the mean of its divisors is an integer number (5648364384).

Almost surely, 2^106557120105 is an apocalyptic number.

106557120105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

106557120105 is a deficient number, since it is larger than the sum of its proper divisors (74190540183).

106557120105 is a wasteful number, since it uses less digits than its factorization.

106557120105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6193457.

The product of its (nonzero) digits is 10500, while the sum is 33.

Adding to 106557120105 its reverse (501021755601), we get a palindrome (607578875706).

The spelling of 106557120105 in words is "one hundred six billion, five hundred fifty-seven million, one hundred twenty thousand, one hundred five".