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105675007 is a prime number
BaseRepresentation
bin1100100110001…
…11100011111111
321100211211212011
412103013203333
5204023100012
614252552051
72422136254
oct623074377
9240754764
10105675007
1154718219
122b482627
1318b7c8b9
141006b42b
1594261a7
hex64c78ff

105675007 has 2 divisors, whose sum is σ = 105675008. Its totient is φ = 105675006.

The previous prime is 105674993. The next prime is 105675023. The reversal of 105675007 is 700576501.

It is a weak prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-105675007 is a prime.

It is a super-2 number, since 2×1056750072 = 22334414208900098, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105675007.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105675047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52837503 + 52837504.

It is an arithmetic number, because the mean of its divisors is an integer number (52837504).

Almost surely, 2105675007 is an apocalyptic number.

105675007 is a deficient number, since it is larger than the sum of its proper divisors (1).

105675007 is an equidigital number, since it uses as much as digits as its factorization.

105675007 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7350, while the sum is 31.

The square root of 105675007 is about 10279.8349694925. The cubic root of 105675007 is about 472.7781843108.

The spelling of 105675007 in words is "one hundred five million, six hundred seventy-five thousand, seven".