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102105115813 is a prime number
BaseRepresentation
bin101111100010111110…
…0000110110010100101
3100202112212210022021001
41133011330012302211
53133102402201223
6114523442553301
710243155110251
oct1370574066245
9322485708231
10102105115813
113a336748838
1217956968831
13982299bcbc
144d2887d261
1529c8e629ad
hex17c5f06ca5

102105115813 has 2 divisors, whose sum is σ = 102105115814. Its totient is φ = 102105115812.

The previous prime is 102105115787. The next prime is 102105115867. The reversal of 102105115813 is 318511501201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 93656197089 + 8448918724 = 306033^2 + 91918^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-102105115813 is a prime.

It is a super-2 number, since 2×1021051158132 (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 (102105118813) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51052557906 + 51052557907.

It is an arithmetic number, because the mean of its divisors is an integer number (51052557907).

Almost surely, 2102105115813 is an apocalyptic number.

It is an amenable number.

102105115813 is a deficient number, since it is larger than the sum of its proper divisors (1).

102105115813 is an equidigital number, since it uses as much as digits as its factorization.

102105115813 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1200, while the sum is 28.

The spelling of 102105115813 in words is "one hundred two billion, one hundred five million, one hundred fifteen thousand, eight hundred thirteen".