105100100105557 has 2 divisors, whose sum is σ = 105100100105558. Its totient is φ = 105100100105556.

The previous prime is 105100100105549. The next prime is 105100100105569. The reversal of 105100100105557 is 755501001001501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 87768248877841 + 17331851227716 = 9368471^2 + 4163154^2 .

It is a cyclic number.

It is not a de Polignac number, because 105100100105557 - 2³ = 105100100105549 is a prime.

It is a super-2 number, since 2×105100100105557² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105100100105857) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52550050052778 + 52550050052779.

It is an arithmetic number, because the mean of its divisors is an integer number (52550050052779).

Almost surely, 2^{105100100105557} is an apocalyptic number.

It is an amenable number.

105100100105557 is a deficient number, since it is larger than the sum of its proper divisors (1).

105100100105557 is an equidigital number, since it uses as much as digits as its factorization.

105100100105557 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4375, while the sum is 31.

The spelling of 105100100105557 in words is "one hundred five trillion, one hundred billion, one hundred million, one hundred five thousand, five hundred fifty-seven".