105506000110601 has 8 divisors (see below), whose sum is σ = 105708342920544. Its totient is φ = 105303659631840.

The previous prime is 105506000110571. The next prime is 105506000110603. The reversal of 105506000110601 is 106011000605501.

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 105506000110601 - 2⁴⁶ = 35137255932937 is a prime.

It is a super-2 number, since 2×105506000110601² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105506000110603) 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, 110174885 + ... + 111128381.

It is an arithmetic number, because the mean of its divisors is an integer number (13213542865068).

Almost surely, 2^{105506000110601} is an apocalyptic number.

It is an amenable number.

105506000110601 is a deficient number, since it is larger than the sum of its proper divisors (202342809943).

105506000110601 is an equidigital number, since it uses as much as digits as its factorization.

105506000110601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1165591.

The product of its (nonzero) digits is 900, while the sum is 26.

The spelling of 105506000110601 in words is "one hundred five trillion, five hundred six billion, one hundred ten thousand, six hundred one".