106005610061109 has 32 divisors (see below), whose sum is σ = 171408161001600. Its totient is φ = 64213588183680.

The previous prime is 106005610061083. The next prime is 106005610061119. The reversal of 106005610061109 is 901160016500601.

It is not a de Polignac number, because 106005610061109 - 2⁸ = 106005610060853 is a prime.

It is a super-2 number, since 2×106005610061109² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106005610061119) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 88951794 + ... + 90135635.

It is an arithmetic number, because the mean of its divisors is an integer number (5356505031300).

Almost surely, 2^{106005610061109} is an apocalyptic number.

It is an amenable number.

106005610061109 is a deficient number, since it is larger than the sum of its proper divisors (65402550940491).

106005610061109 is a wasteful number, since it uses less digits than its factorization.

106005610061109 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179089442 (or 179089436 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 36.

The spelling of 106005610061109 in words is "one hundred six trillion, five billion, six hundred ten million, sixty-one thousand, one hundred nine".