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105868097 is a prime number
BaseRepresentation
bin1100100111101…
…10101101000001
321101012122201122
412103312231001
5204100234342
614301042025
72423602226
oct623665501
9241178648
10105868097
115483a2a5
122b556315
1318c1975a
14100bb94d
1594634d2
hex64f6b41

105868097 has 2 divisors, whose sum is σ = 105868098. Its totient is φ = 105868096.

The previous prime is 105868093. The next prime is 105868141. The reversal of 105868097 is 790868501.

It is a happy number.

It is an a-pointer prime, because the next prime (105868141) can be obtained adding 105868097 to its sum of digits (44).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 75881521 + 29986576 = 8711^2 + 5476^2 .

It is a cyclic number.

It is not a de Polignac number, because 105868097 - 22 = 105868093 is a prime.

It is a super-2 number, since 2×1058680972 = 22416107924802818, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105868093) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52934048 + 52934049.

It is an arithmetic number, because the mean of its divisors is an integer number (52934049).

Almost surely, 2105868097 is an apocalyptic number.

It is an amenable number.

105868097 is a deficient number, since it is larger than the sum of its proper divisors (1).

105868097 is an equidigital number, since it uses as much as digits as its factorization.

105868097 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 120960, while the sum is 44.

The square root of 105868097 is about 10289.2223710055. Note that the first 3 decimals coincide. The cubic root of 105868097 is about 473.0659634728.

The spelling of 105868097 in words is "one hundred five million, eight hundred sixty-eight thousand, ninety-seven".