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106001029 is a prime number
BaseRepresentation
bin1100101000101…
…11001010000101
321101110102002001
412110113022011
5204114013104
614303545301
72424664621
oct624271205
9241412061
10106001029
1154920162
122b5bb231
1318c65104
1410114181
15948caa4
hex6517285

106001029 has 2 divisors, whose sum is σ = 106001030. Its totient is φ = 106001028.

The previous prime is 106001023. The next prime is 106001033. The reversal of 106001029 is 920100601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 94284100 + 11716929 = 9710^2 + 3423^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-106001029 is a prime.

It is a super-2 number, since 2×1060010292 = 22472436298117682, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106000997 and 106001015.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (106001023) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53000514 + 53000515.

It is an arithmetic number, because the mean of its divisors is an integer number (53000515).

Almost surely, 2106001029 is an apocalyptic number.

It is an amenable number.

106001029 is a deficient number, since it is larger than the sum of its proper divisors (1).

106001029 is an equidigital number, since it uses as much as digits as its factorization.

106001029 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 108, while the sum is 19.

The square root of 106001029 is about 10295.6801135233. The cubic root of 106001029 is about 473.2638805169.

The spelling of 106001029 in words is "one hundred six million, one thousand, twenty-nine".