106561101 has 16 divisors (see below), whose sum is σ = 150114240. Its totient is φ = 67052160.

The previous prime is 106561097. The next prime is 106561129. The reversal of 106561101 is 101165601.

It is not a de Polignac number, because 106561101 - 2² = 106561097 is a prime.

It is a super-2 number, since 2×106561101² = 22710536492664402, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106561141) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 12691 + ... + 19343.

It is an arithmetic number, because the mean of its divisors is an integer number (9382140).

Almost surely, 2^106561101 is an apocalyptic number.

It is an amenable number.

106561101 is a deficient number, since it is larger than the sum of its proper divisors (43553139).

106561101 is a wasteful number, since it uses less digits than its factorization.

106561101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6956.

The product of its (nonzero) digits is 180, while the sum is 21.

The square root of 106561101 is about 10322.8436489177. The cubic root of 106561101 is about 474.0959365357.

The spelling of 106561101 in words is "one hundred six million, five hundred sixty-one thousand, one hundred one".