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104135917969 is a prime number
BaseRepresentation
bin110000011111011111…
…1000000000110010001
3100221210102002202002201
41200332333000012101
53201232243333334
6115501150043201
710344404461246
oct1407677000621
9327712082081
10104135917969
1140189013526
1218222aa9501
139a8763c495
14507c4755cd
152a973abc14
hex183efc0191

104135917969 has 2 divisors, whose sum is σ = 104135917970. Its totient is φ = 104135917968.

The previous prime is 104135917943. The next prime is 104135917987. The reversal of 104135917969 is 969719531401.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 71974158400 + 32161759569 = 268280^2 + 179337^2 .

It is a cyclic number.

It is not a de Polignac number, because 104135917969 - 231 = 101988434321 is a prime.

It is a super-2 number, since 2×1041359179692 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (104135917939) 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, 52067958984 + 52067958985.

It is an arithmetic number, because the mean of its divisors is an integer number (52067958985).

Almost surely, 2104135917969 is an apocalyptic number.

It is an amenable number.

104135917969 is a deficient number, since it is larger than the sum of its proper divisors (1).

104135917969 is an equidigital number, since it uses as much as digits as its factorization.

104135917969 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1837080, while the sum is 55.

The spelling of 104135917969 in words is "one hundred four billion, one hundred thirty-five million, nine hundred seventeen thousand, nine hundred sixty-nine".