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105455350309 is a prime number
BaseRepresentation
bin110001000110110100…
…0001111001000100101
3101002012100211212000011
41202031220033020211
53211433032202214
6120240122050221
710422165454621
oct1421550171045
9332170755004
10105455350309
11407a5883581
1218530949971
139c37abc38a
1451657b4181
152b23139ac4
hex188da0f225

105455350309 has 2 divisors, whose sum is σ = 105455350310. Its totient is φ = 105455350308.

The previous prime is 105455350261. The next prime is 105455350333. The reversal of 105455350309 is 903053554501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 102130098084 + 3325252225 = 319578^2 + 57665^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-105455350309 is a prime.

It is a super-2 number, since 2×1054553503092 (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 (105455350369) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52727675154 + 52727675155.

It is an arithmetic number, because the mean of its divisors is an integer number (52727675155).

Almost surely, 2105455350309 is an apocalyptic number.

It is an amenable number.

105455350309 is a deficient number, since it is larger than the sum of its proper divisors (1).

105455350309 is an equidigital number, since it uses as much as digits as its factorization.

105455350309 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 202500, while the sum is 40.

The spelling of 105455350309 in words is "one hundred five billion, four hundred fifty-five million, three hundred fifty thousand, three hundred nine".