106101640055 has 32 divisors (see below), whose sum is σ = 140046796800. Its totient is φ = 76809503232.

The previous prime is 106101640049. The next prime is 106101640111. The reversal of 106101640055 is 550046101601.

It is a cyclic number.

It is not a de Polignac number, because 106101640055 - 2⁶ = 106101639991 is a prime.

It is a super-3 number, since 3×106101640055³ (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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1537247 + ... + 1604783.

It is an arithmetic number, because the mean of its divisors is an integer number (4376462400).

Almost surely, 2^106101640055 is an apocalyptic number.

106101640055 is a deficient number, since it is larger than the sum of its proper divisors (33945156745).

106101640055 is a wasteful number, since it uses less digits than its factorization.

106101640055 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68303.

The product of its (nonzero) digits is 3600, while the sum is 29.

Adding to 106101640055 its reverse (550046101601), we get a palindrome (656147741656).

The spelling of 106101640055 in words is "one hundred six billion, one hundred one million, six hundred forty thousand, fifty-five".