Search a number
-
+
105750971197 is a prime number
BaseRepresentation
bin110001001111100111…
…1111100001100111101
3101002221222002221121221
41202133033330030331
53213034222034242
6120325322153341
710432415265244
oct1423717741475
9332858087557
10105750971197
1140937736963
12185b3952851
139c84115b91
145192b6795b
152b3e081167
hex189f3fc33d

105750971197 has 2 divisors, whose sum is σ = 105750971198. Its totient is φ = 105750971196.

The previous prime is 105750971159. The next prime is 105750971213. The reversal of 105750971197 is 791179057501.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 85070805561 + 20680165636 = 291669^2 + 143806^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-105750971197 is a prime.

It is a super-2 number, since 2×1057509711972 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105750951197) by changing a digit.

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 as a sum of consecutive naturals, namely, 52875485598 + 52875485599.

It is an arithmetic number, because the mean of its divisors is an integer number (52875485599).

Almost surely, 2105750971197 is an apocalyptic number.

It is an amenable number.

105750971197 is a deficient number, since it is larger than the sum of its proper divisors (1).

105750971197 is an equidigital number, since it uses as much as digits as its factorization.

105750971197 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 694575, while the sum is 52.

The spelling of 105750971197 in words is "one hundred five billion, seven hundred fifty million, nine hundred seventy-one thousand, one hundred ninety-seven".