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105136701029 is a prime number
BaseRepresentation
bin110000111101010100…
…0101011111001100101
3101001101011020210100222
41201322220223321211
53210304443413104
6120144340214125
710411246133153
oct1417250537145
9331334223328
10105136701029
1140651a21668
121846209a345
139bb6a91bc9
1451353483d3
152b051951be
hex187aa2be65

105136701029 has 2 divisors, whose sum is σ = 105136701030. Its totient is φ = 105136701028.

The previous prime is 105136700969. The next prime is 105136701049. The reversal of 105136701029 is 920107631501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 97762528900 + 7374172129 = 312670^2 + 85873^2 .

It is a cyclic number.

It is not a de Polignac number, because 105136701029 - 212 = 105136696933 is a prime.

It is a super-2 number, since 2×1051367010292 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105136701029.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105136701049) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52568350514 + 52568350515.

It is an arithmetic number, because the mean of its divisors is an integer number (52568350515).

Almost surely, 2105136701029 is an apocalyptic number.

It is an amenable number.

105136701029 is a deficient number, since it is larger than the sum of its proper divisors (1).

105136701029 is an equidigital number, since it uses as much as digits as its factorization.

105136701029 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 11340, while the sum is 35.

The spelling of 105136701029 in words is "one hundred five billion, one hundred thirty-six million, seven hundred one thousand, twenty-nine".