106055605610501 has 8 divisors (see below), whose sum is σ = 108662309962584. Its totient is φ = 103449852794880.

The previous prime is 106055605610477. The next prime is 106055605610509. The reversal of 106055605610501 is 105016506550601.

It can be written as a sum of positive squares in 4 ways, for example, as 25871729453476 + 80183876157025 = 5086426^2 + 8954545^2 .

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 106055605610501 - 2¹⁰ = 106055605609477 is a prime.

It is a super-2 number, since 2×106055605610501² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106055605610509) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 237658460 + ... + 238104293.

It is an arithmetic number, because the mean of its divisors is an integer number (13582788745323).

Almost surely, 2^{106055605610501} is an apocalyptic number.

It is an amenable number.

106055605610501 is a deficient number, since it is larger than the sum of its proper divisors (2606704352083).

106055605610501 is an equidigital number, since it uses as much as digits as its factorization.

106055605610501 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 475768231.

The product of its (nonzero) digits is 135000, while the sum is 41.

The spelling of 106055605610501 in words is "one hundred six trillion, fifty-five billion, six hundred five million, six hundred ten thousand, five hundred one".