106105505101 has 4 divisors (see below), whose sum is σ = 106106457600. Its totient is φ = 106104552604.

The previous prime is 106105505089. The next prime is 106105505119. The reversal of 106105505101 is 101505501601.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also a brilliant number, because the two primes have the same length.

It is a cyclic number.

It is not a de Polignac number, because 106105505101 - 2²³ = 106097116493 is a prime.

It is a super-2 number, since 2×106105505101² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106105505131) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 283021 + ... + 540658.

It is an arithmetic number, because the mean of its divisors is an integer number (26526614400).

Almost surely, 2^106105505101 is an apocalyptic number.

It is an amenable number.

106105505101 is a deficient number, since it is larger than the sum of its proper divisors (952499).

106105505101 is an equidigital number, since it uses as much as digits as its factorization.

106105505101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 952498.

The product of its (nonzero) digits is 750, while the sum is 25.

The spelling of 106105505101 in words is "one hundred six billion, one hundred five million, five hundred five thousand, one hundred one".