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105115814693 is a prime number
BaseRepresentation
bin110000111100101100…
…1000000101100100101
3101001022200221122200222
41201321121000230211
53210234122032233
6120142312414125
710410603453101
oct1417131005445
9331280848628
10105115814693
114064115642a
12184570a7345
139bb265b226
14513266c901
152b0341b898
hex1879640b25

105115814693 has 2 divisors, whose sum is σ = 105115814694. Its totient is φ = 105115814692.

The previous prime is 105115814597. The next prime is 105115814729. The reversal of 105115814693 is 396418511501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 104224374244 + 891440449 = 322838^2 + 29857^2 .

It is a cyclic number.

It is not a de Polignac number, because 105115814693 - 222 = 105111620389 is a prime.

It is a super-2 number, since 2×1051158146932 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105115814093) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52557907346 + 52557907347.

It is an arithmetic number, because the mean of its divisors is an integer number (52557907347).

Almost surely, 2105115814693 is an apocalyptic number.

It is an amenable number.

105115814693 is a deficient number, since it is larger than the sum of its proper divisors (1).

105115814693 is an equidigital number, since it uses as much as digits as its factorization.

105115814693 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 129600, while the sum is 44.

The spelling of 105115814693 in words is "one hundred five billion, one hundred fifteen million, eight hundred fourteen thousand, six hundred ninety-three".