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107812345681 is a prime number
BaseRepresentation
bin110010001101000011…
…1011101011101010001
3101022021121221121211001
41210122013131131101
53231244430030211
6121310040422001
710534455550345
oct1443207353521
9338247847731
10107812345681
11417a5293037
1218a8a177901
13a2221cb9b1
14530a83b625
152c10018ac1
hex191a1dd751

107812345681 has 2 divisors, whose sum is σ = 107812345682. Its totient is φ = 107812345680.

The previous prime is 107812345643. The next prime is 107812345691. The reversal of 107812345681 is 186543218701.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 100096304400 + 7716041281 = 316380^2 + 87841^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-107812345681 is a prime.

It is a super-2 number, since 2×1078123456812 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (107812345691) 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, 53906172840 + 53906172841.

It is an arithmetic number, because the mean of its divisors is an integer number (53906172841).

Almost surely, 2107812345681 is an apocalyptic number.

It is an amenable number.

107812345681 is a deficient number, since it is larger than the sum of its proper divisors (1).

107812345681 is an equidigital number, since it uses as much as digits as its factorization.

107812345681 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 322560, while the sum is 46.

The spelling of 107812345681 in words is "one hundred seven billion, eight hundred twelve million, three hundred forty-five thousand, six hundred eighty-one".