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106125370201 is a prime number
BaseRepresentation
bin110001011010110010…
…0001010001101011001
3101010221001121101111201
41202311210022031121
53214321043321301
6120430414554201
710444612522444
oct1426544121531
9333831541451
10106125370201
114100a006424
1218699208961
13a013862856
1451ca78665b
152b61d89201
hex18b590a359

106125370201 has 2 divisors, whose sum is σ = 106125370202. Its totient is φ = 106125370200.

The previous prime is 106125370193. The next prime is 106125370223. The reversal of 106125370201 is 102073521601.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 86553640000 + 19571730201 = 294200^2 + 139899^2 .

It is a cyclic number.

It is not a de Polignac number, because 106125370201 - 23 = 106125370193 is a prime.

It is a super-2 number, since 2×1061253702012 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106125370201.

It is not a weakly prime, because it can be changed into another prime (106125370291) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53062685100 + 53062685101.

It is an arithmetic number, because the mean of its divisors is an integer number (53062685101).

Almost surely, 2106125370201 is an apocalyptic number.

It is an amenable number.

106125370201 is a deficient number, since it is larger than the sum of its proper divisors (1).

106125370201 is an equidigital number, since it uses as much as digits as its factorization.

106125370201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2520, while the sum is 28.

Adding to 106125370201 its reverse (102073521601), we get a palindrome (208198891802).

The spelling of 106125370201 in words is "one hundred six billion, one hundred twenty-five million, three hundred seventy thousand, two hundred one".