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105626881 is a prime number
BaseRepresentation
bin1100100101110…
…11110100000001
321100202101211201
412102323310001
5204020030011
614251541201
72421546043
oct622736401
9240671751
10105626881
1154695048
122b45a801
1318b63a19
1410057a93
159416cc1
hex64bbd01

105626881 has 2 divisors, whose sum is σ = 105626882. Its totient is φ = 105626880.

The previous prime is 105626837. The next prime is 105626893. The reversal of 105626881 is 188626501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 96530625 + 9096256 = 9825^2 + 3016^2 .

It is a cyclic number.

It is not a de Polignac number, because 105626881 - 27 = 105626753 is a prime.

It is a super-2 number, since 2×1056268812 = 22314075979576322, which contains 22 as substring.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 105626881.

It is not a weakly prime, because it can be changed into another prime (105626581) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52813440 + 52813441.

It is an arithmetic number, because the mean of its divisors is an integer number (52813441).

Almost surely, 2105626881 is an apocalyptic number.

It is an amenable number.

105626881 is a deficient number, since it is larger than the sum of its proper divisors (1).

105626881 is an equidigital number, since it uses as much as digits as its factorization.

105626881 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 23040, while the sum is 37.

The square root of 105626881 is about 10277.4939065903. The cubic root of 105626881 is about 472.7064032958.

The spelling of 105626881 in words is "one hundred five million, six hundred twenty-six thousand, eight hundred eighty-one".