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105155517893 is a prime number
BaseRepresentation
bin110000111101111000…
…0011101110111000101
3101001102110122210020212
41201323300131313011
53210324303033033
6120150251405205
710411565103626
oct1417360356705
9331373583225
10105155517893
1140661603a98
1218468453805
139bba94c94a
145137a45a4d
152b06b60748
hex187bc1ddc5

105155517893 has 2 divisors, whose sum is σ = 105155517894. Its totient is φ = 105155517892.

The previous prime is 105155517881. The next prime is 105155517937. The reversal of 105155517893 is 398715551501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 96098760004 + 9056757889 = 309998^2 + 95167^2 .

It is a cyclic number.

It is not a de Polignac number, because 105155517893 - 24 = 105155517877 is a prime.

It is a super-2 number, since 2×1051555178932 (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 (105155517833) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52577758946 + 52577758947.

It is an arithmetic number, because the mean of its divisors is an integer number (52577758947).

Almost surely, 2105155517893 is an apocalyptic number.

It is an amenable number.

105155517893 is a deficient number, since it is larger than the sum of its proper divisors (1).

105155517893 is an equidigital number, since it uses as much as digits as its factorization.

105155517893 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 945000, while the sum is 50.

The spelling of 105155517893 in words is "one hundred five billion, one hundred fifty-five million, five hundred seventeen thousand, eight hundred ninety-three".