106505101165601 has 8 divisors (see below), whose sum is σ = 107845721149824. Its totient is φ = 105165848467120.

The previous prime is 106505101165559. The next prime is 106505101165633. The reversal of 106505101165601 is 106561101505601.

It is a happy number.

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 106505101165601 - 2³⁰ = 106504027423777 is a prime.

It is a super-2 number, since 2×106505101165601² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (106505101165651) 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, 341664665 + ... + 341976246.

It is an arithmetic number, because the mean of its divisors is an integer number (13480715143728).

Almost surely, 2^{106505101165601} is an apocalyptic number.

It is an amenable number.

106505101165601 is a deficient number, since it is larger than the sum of its proper divisors (1340619984223).

106505101165601 is an equidigital number, since it uses as much as digits as its factorization.

106505101165601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 683642871.

The product of its (nonzero) digits is 27000, while the sum is 38.

The spelling of 106505101165601 in words is "one hundred six trillion, five hundred five billion, one hundred one million, one hundred sixty-five thousand, six hundred one".