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105355263437 is a prime number
BaseRepresentation
bin110001000011110101…
…0011011110111001101
3101001221101111220121222
41202013222123313031
53211231421412222
6120222144533125
710416541651304
oct1420752336715
9331841456558
10105355263437
1140754332856
12185033211a5
139c20148188
14515639d43b
152b19469542
hex1887a9bdcd

105355263437 has 2 divisors, whose sum is σ = 105355263438. Its totient is φ = 105355263436.

The previous prime is 105355263413. The next prime is 105355263449. The reversal of 105355263437 is 734362553501.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 61368171076 + 43987092361 = 247726^2 + 209731^2 .

It is a cyclic number.

It is not a de Polignac number, because 105355263437 - 212 = 105355259341 is a prime.

It is a super-2 number, since 2×1053552634372 (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 (105355263037) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52677631718 + 52677631719.

It is an arithmetic number, because the mean of its divisors is an integer number (52677631719).

Almost surely, 2105355263437 is an apocalyptic number.

It is an amenable number.

105355263437 is a deficient number, since it is larger than the sum of its proper divisors (1).

105355263437 is an equidigital number, since it uses as much as digits as its factorization.

105355263437 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1134000, while the sum is 44.

The spelling of 105355263437 in words is "one hundred five billion, three hundred fifty-five million, two hundred sixty-three thousand, four hundred thirty-seven".