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105106005149 is a prime number
BaseRepresentation
bin110000111100011001…
…1100101110010011101
3101001022000111021112112
41201320303211302131
53210224114131044
6120141322243405
710410424205615
oct1417063456235
9331260437475
10105106005149
1140636666372
1218453956565
139bb0605272
145131237a45
152b0263009e
hex1878ce5c9d

105106005149 has 2 divisors, whose sum is σ = 105106005150. Its totient is φ = 105106005148.

The previous prime is 105106005089. The next prime is 105106005167. The reversal of 105106005149 is 941500601501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 62846980249 + 42259024900 = 250693^2 + 205570^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-105106005149 is a prime.

It is a super-2 number, since 2×1051060051492 (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 (105106002149) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52553002574 + 52553002575.

It is an arithmetic number, because the mean of its divisors is an integer number (52553002575).

Almost surely, 2105106005149 is an apocalyptic number.

It is an amenable number.

105106005149 is a deficient number, since it is larger than the sum of its proper divisors (1).

105106005149 is an equidigital number, since it uses as much as digits as its factorization.

105106005149 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 5400, while the sum is 32.

The spelling of 105106005149 in words is "one hundred five billion, one hundred six million, five thousand, one hundred forty-nine".