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106814780609 is a prime number
BaseRepresentation
bin110001101111010101…
…0000011010011000001
3101012201002212001210112
41203132222003103001
53222224040434414
6121023043241105
710500653440355
oct1433652032301
9335632761715
10106814780609
1141333182699
1218850079195
13a0c3634bc4
145254165465
152ba2668d3e
hex18dea834c1

106814780609 has 2 divisors, whose sum is σ = 106814780610. Its totient is φ = 106814780608.

The previous prime is 106814780581. The next prime is 106814780641. The reversal of 106814780609 is 906087418601.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 99237600400 + 7577180209 = 315020^2 + 87047^2 .

It is an emirp because it is prime and its reverse (906087418601) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 106814780609 - 212 = 106814776513 is a prime.

It is a super-2 number, since 2×1068147806092 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (106814786609) 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, 53407390304 + 53407390305.

It is an arithmetic number, because the mean of its divisors is an integer number (53407390305).

Almost surely, 2106814780609 is an apocalyptic number.

It is an amenable number.

106814780609 is a deficient number, since it is larger than the sum of its proper divisors (1).

106814780609 is an equidigital number, since it uses as much as digits as its factorization.

106814780609 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 580608, while the sum is 50.

The spelling of 106814780609 in words is "one hundred six billion, eight hundred fourteen million, seven hundred eighty thousand, six hundred nine".