105600016155001 has 2 divisors, whose sum is σ = 105600016155002. Its totient is φ = 105600016155000.

The previous prime is 105600016154953. The next prime is 105600016155047. The reversal of 105600016155001 is 100551610006501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 105002054196601 + 597961958400 = 10247051^2 + 773280^2 .

It is a cyclic number.

It is not a de Polignac number, because 105600016155001 - 2⁴⁵ = 70415644066169 is a prime.

It is a super-2 number, since 2×105600016155001² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105600016155301) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52800008077500 + 52800008077501.

It is an arithmetic number, because the mean of its divisors is an integer number (52800008077501).

Almost surely, 2^{105600016155001} is an apocalyptic number.

It is an amenable number.

105600016155001 is a deficient number, since it is larger than the sum of its proper divisors (1).

105600016155001 is an equidigital number, since it uses as much as digits as its factorization.

105600016155001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4500, while the sum is 31.

The spelling of 105600016155001 in words is "one hundred five trillion, six hundred billion, sixteen million, one hundred fifty-five thousand, one".