106005561101 has 8 divisors (see below), whose sum is σ = 118331789664. Its totient is φ = 94127559120.

The previous prime is 106005561073. The next prime is 106005561119. The reversal of 106005561101 is 101165500601.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 106005561101 - 2²² = 106001366797 is a prime.

It is a super-2 number, since 2×106005561101² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106005561001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 112056146 + ... + 112057091.

It is an arithmetic number, because the mean of its divisors is an integer number (14791473708).

Almost surely, 2^106005561101 is an apocalyptic number.

106005561101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

106005561101 is a deficient number, since it is larger than the sum of its proper divisors (12326228563).

106005561101 is a wasteful number, since it uses less digits than its factorization.

106005561101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224113291.

The product of its (nonzero) digits is 900, while the sum is 26.

The spelling of 106005561101 in words is "one hundred six billion, five million, five hundred sixty-one thousand, one hundred one".