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106099586977 is a prime number
BaseRepresentation
bin110001011010000000…
…1110011011110100001
3101010212021002110120111
41202310001303132201
53214242443240402
6120424054211321
710444150415626
oct1426401633641
9333767073514
10106099586977
1140aa64a607a
1218690653b41
13a00b405cc7
1451c719434d
152b5e9949d7
hex18b40737a1

106099586977 has 2 divisors, whose sum is σ = 106099586978. Its totient is φ = 106099586976.

The previous prime is 106099586939. The next prime is 106099586981. The reversal of 106099586977 is 779685990601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 105838958241 + 260628736 = 325329^2 + 16144^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-106099586977 is a prime.

It is a super-2 number, since 2×1060995869772 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (106099586077) 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, 53049793488 + 53049793489.

It is an arithmetic number, because the mean of its divisors is an integer number (53049793489).

Almost surely, 2106099586977 is an apocalyptic number.

It is an amenable number.

106099586977 is a deficient number, since it is larger than the sum of its proper divisors (1).

106099586977 is an equidigital number, since it uses as much as digits as its factorization.

106099586977 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 51438240, while the sum is 67.

The spelling of 106099586977 in words is "one hundred six billion, ninety-nine million, five hundred eighty-six thousand, nine hundred seventy-seven".