106101000005 has 64 divisors (see below), whose sum is σ = 173500766208. Its totient is φ = 60141692160.

The previous prime is 106100999971. The next prime is 106101000037. The reversal of 106101000005 is 500000101601.

It is not a de Polignac number, because 106101000005 - 2¹⁶ = 106100934469 is a prime.

It is a super-2 number, since 2×106101000005² (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 177134 + ... + 493536.

It is an arithmetic number, because the mean of its divisors is an integer number (2710949472).

Almost surely, 2^106101000005 is an apocalyptic number.

It is an amenable number.

106101000005 is a deficient number, since it is larger than the sum of its proper divisors (67399766203).

106101000005 is a wasteful number, since it uses less digits than its factorization.

106101000005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316506.

The product of its (nonzero) digits is 30, while the sum is 14.

Adding to 106101000005 its reverse (500000101601), we get a palindrome (606101101606).

The spelling of 106101000005 in words is "one hundred six billion, one hundred one million, five", and thus it is an aban number.