106105608635 has 32 divisors (see below), whose sum is σ = 138016874688. Its totient is φ = 77844602880.

The previous prime is 106105608629. The next prime is 106105608683. The reversal of 106105608635 is 536806501601.

It is not a de Polignac number, because 106105608635 - 2⁸ = 106105608379 is a prime.

It is a super-2 number, since 2×106105608635² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 106105608592 and 106105608601.

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, 6775124 + ... + 6790766.

It is an arithmetic number, because the mean of its divisors is an integer number (4313027334).

Almost surely, 2^106105608635 is an apocalyptic number.

106105608635 is a deficient number, since it is larger than the sum of its proper divisors (31911266053).

106105608635 is a wasteful number, since it uses less digits than its factorization.

106105608635 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16335.

The product of its (nonzero) digits is 129600, while the sum is 41.

The spelling of 106105608635 in words is "one hundred six billion, one hundred five million, six hundred eight thousand, six hundred thirty-five".