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105136701049 is a prime number
BaseRepresentation
bin110000111101010100…
…0101011111001111001
3101001101011020210101201
41201322220223321321
53210304443413144
6120144340214201
710411246133212
oct1417250537171
9331334223351
10105136701049
1140651a21686
121846209a361
139bb6a91c13
145135348409
152b051951d4
hex187aa2be79

105136701049 has 2 divisors, whose sum is σ = 105136701050. Its totient is φ = 105136701048.

The previous prime is 105136701029. The next prime is 105136701101. The reversal of 105136701049 is 940107631501.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 80674177024 + 24462524025 = 284032^2 + 156405^2 .

It is an emirp because it is prime and its reverse (940107631501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105136701049 - 211 = 105136699001 is a prime.

It is a super-2 number, since 2×1051367010492 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105136700999 and 105136701017.

It is not a weakly prime, because it can be changed into another prime (105136701029) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52568350524 + 52568350525.

It is an arithmetic number, because the mean of its divisors is an integer number (52568350525).

Almost surely, 2105136701049 is an apocalyptic number.

It is an amenable number.

105136701049 is a deficient number, since it is larger than the sum of its proper divisors (1).

105136701049 is an equidigital number, since it uses as much as digits as its factorization.

105136701049 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 22680, while the sum is 37.

The spelling of 105136701049 in words is "one hundred five billion, one hundred thirty-six million, seven hundred one thousand, forty-nine".