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105464324557 is a prime number
BaseRepresentation
bin110001000111000101…
…0011110000111001101
3101002012222201210100201
41202032022132013031
53211442331341212
6120241042253501
710422334652614
oct1421612360715
9332188653321
10105464324557
11407aa953009
1218533957291
139c39912097
145166a6c87b
152b23d0db57
hex188e29e1cd

105464324557 has 2 divisors, whose sum is σ = 105464324558. Its totient is φ = 105464324556.

The previous prime is 105464324531. The next prime is 105464324569. The reversal of 105464324557 is 755423464501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 82618304356 + 22846020201 = 287434^2 + 151149^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-105464324557 is a prime.

It is a super-2 number, since 2×1054643245572 (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 (105464324257) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52732162278 + 52732162279.

It is an arithmetic number, because the mean of its divisors is an integer number (52732162279).

Almost surely, 2105464324557 is an apocalyptic number.

It is an amenable number.

105464324557 is a deficient number, since it is larger than the sum of its proper divisors (1).

105464324557 is an equidigital number, since it uses as much as digits as its factorization.

105464324557 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2016000, while the sum is 46.

The spelling of 105464324557 in words is "one hundred five billion, four hundred sixty-four million, three hundred twenty-four thousand, five hundred fifty-seven".