105271006347555 has 32 divisors (see below), whose sum is σ = 169098731702784. Its totient is φ = 55922993742336.

The previous prime is 105271006347527. The next prime is 105271006347599. The reversal of 105271006347555 is 555743600172501.

It is a Cunningham number, because it is equal to 10260166²-1.

It is not a de Polignac number, because 105271006347555 - 2³⁰ = 105269932605731 is a prime.

It is a super-2 number, since 2×105271006347555² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105271006347498 and 105271006347507.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 5130082 + ... + 15390248.

It is an arithmetic number, because the mean of its divisors is an integer number (5284335365712).

Almost surely, 2^{105271006347555} is an apocalyptic number.

105271006347555 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

105271006347555 is a deficient number, since it is larger than the sum of its proper divisors (63827725355229).

105271006347555 is a wasteful number, since it uses less digits than its factorization.

105271006347555 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10262875.

The product of its (nonzero) digits is 4410000, while the sum is 51.

The spelling of 105271006347555 in words is "one hundred five trillion, two hundred seventy-one billion, six million, three hundred forty-seven thousand, five hundred fifty-five".