106101601 has 8 divisors (see below), whose sum is σ = 108371520. Its totient is φ = 103841712.

The previous prime is 106101577. The next prime is 106101629.

106101601 is nontrivially palindromic in base 10.

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 106101601 - 2²¹ = 104004449 is a prime.

It is a super-3 number, since 3×106101601³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (106101901) 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, 21220 + ... + 25738.

It is an arithmetic number, because the mean of its divisors is an integer number (13546440).

Almost surely, 2^106101601 is an apocalyptic number.

It is an amenable number.

106101601 is a deficient number, since it is larger than the sum of its proper divisors (2269919).

106101601 is an equidigital number, since it uses as much as digits as its factorization.

106101601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5015.

The product of its (nonzero) digits is 36, while the sum is 16.

The square root of 106101601 is about 10300.5631399453. The cubic root of 106101601 is about 473.4135081518.

The spelling of 106101601 in words is "one hundred six million, one hundred one thousand, six hundred one".