105001100055601 has 2 divisors, whose sum is σ = 105001100055602. Its totient is φ = 105001100055600.

The previous prime is 105001100055589. The next prime is 105001100055661. The reversal of 105001100055601 is 106550001100501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 76940984103201 + 28060115952400 = 8771601^2 + 5297180^2 .

It is a cyclic number.

It is not a de Polignac number, because 105001100055601 - 2⁷ = 105001100055473 is a prime.

It is a super-2 number, since 2×105001100055601² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105001100055661) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52500550027800 + 52500550027801.

It is an arithmetic number, because the mean of its divisors is an integer number (52500550027801).

Almost surely, 2^{105001100055601} is an apocalyptic number.

It is an amenable number.

105001100055601 is a deficient number, since it is larger than the sum of its proper divisors (1).

105001100055601 is an equidigital number, since it uses as much as digits as its factorization.

105001100055601 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 750, while the sum is 25.

The spelling of 105001100055601 in words is "one hundred five trillion, one billion, one hundred million, fifty-five thousand, six hundred one".