105550550056001 has 6 divisors (see below), whose sum is σ = 105649939564290. Its totient is φ = 105451253959968.

The previous prime is 105550550055983. The next prime is 105550550056019. The reversal of 105550550056001 is 100650055055501.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (105550550055983) and next prime (105550550056019).

It can be written as a sum of positive squares in only one way, i.e., 92854326849025 + 12696223206976 = 9636095^2 + 3563176^2 .

It is not a de Polignac number, because 105550550056001 - 2¹⁰ = 105550550054977 is a prime.

It is a super-2 number, since 2×105550550056001² (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 (105550550056801) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 45575096 + ... + 47835033.

It is an arithmetic number, because the mean of its divisors is an integer number (17608323260715).

Almost surely, 2^{105550550056001} is an apocalyptic number.

It is an amenable number.

105550550056001 is a deficient number, since it is larger than the sum of its proper divisors (99389508289).

105550550056001 is an frugal number, since it uses more digits than its factorization.

105550550056001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93412255 (or 93411192 counting only the distinct ones).

The product of its (nonzero) digits is 93750, while the sum is 38.

The spelling of 105550550056001 in words is "one hundred five trillion, five hundred fifty billion, five hundred fifty million, fifty-six thousand, one".