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105944702993 is a prime number
BaseRepresentation
bin110001010101011001…
…0111110000000010001
3101010110110122112200122
41202222302332000101
53213433320443433
6120400442400025
710440260055053
oct1425262760021
9333413575618
10105944702993
1140a27028488
1218648800015
139cb52b708c
1451b07978d3
152b5109d198
hex18aacbe011

105944702993 has 2 divisors, whose sum is σ = 105944702994. Its totient is φ = 105944702992.

The previous prime is 105944702939. The next prime is 105944703017. The reversal of 105944702993 is 399207449501.

Together with previous prime (105944702939) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 105120553729 + 824149264 = 324223^2 + 28708^2 .

It is a cyclic number.

It is not a de Polignac number, because 105944702993 - 214 = 105944686609 is a prime.

It is a super-2 number, since 2×1059447029932 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105944602993) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52972351496 + 52972351497.

It is an arithmetic number, because the mean of its divisors is an integer number (52972351497).

Almost surely, 2105944702993 is an apocalyptic number.

It is an amenable number.

105944702993 is a deficient number, since it is larger than the sum of its proper divisors (1).

105944702993 is an equidigital number, since it uses as much as digits as its factorization.

105944702993 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2449440, while the sum is 53.

The spelling of 105944702993 in words is "one hundred five billion, nine hundred forty-four million, seven hundred two thousand, nine hundred ninety-three".