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106152770657 is a prime number
BaseRepresentation
bin110001011011100110…
…0101011110001100001
3101010222222011110212102
41202313030223301201
53214400102130112
6120433234140145
710445364443243
oct1426714536141
9333888143772
10106152770657
114102352082a
12186a6421655
13a01943753b
1451d027a093
152b6449cbc2
hex18b732bc61

106152770657 has 2 divisors, whose sum is σ = 106152770658. Its totient is φ = 106152770656.

The previous prime is 106152770621. The next prime is 106152770681. The reversal of 106152770657 is 756077251601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 72326572096 + 33826198561 = 268936^2 + 183919^2 .

It is a cyclic number.

It is not a de Polignac number, because 106152770657 - 26 = 106152770593 is a prime.

It is a super-2 number, since 2×1061527706572 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (106152770617) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53076385328 + 53076385329.

It is an arithmetic number, because the mean of its divisors is an integer number (53076385329).

Almost surely, 2106152770657 is an apocalyptic number.

It is an amenable number.

106152770657 is a deficient number, since it is larger than the sum of its proper divisors (1).

106152770657 is an equidigital number, since it uses as much as digits as its factorization.

106152770657 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 617400, while the sum is 47.

The spelling of 106152770657 in words is "one hundred six billion, one hundred fifty-two million, seven hundred seventy thousand, six hundred fifty-seven".