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106455301 is a prime number
BaseRepresentation
bin1100101100001…
…10000100000101
321102022111012221
412112012010011
5204223032201
614321412341
72431566211
oct626060405
9242274187
10106455301
1155100497
122b79a0b1
1319093b04
14101d1941
15952c4a1
hex6586105

106455301 has 2 divisors, whose sum is σ = 106455302. Its totient is φ = 106455300.

The previous prime is 106455289. The next prime is 106455353. The reversal of 106455301 is 103554601.

106455301 is nontrivially palindromic in base 6.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 106296100 + 159201 = 10310^2 + 399^2 .

It is a cyclic number.

It is not a de Polignac number, because 106455301 - 213 = 106447109 is a prime.

It is a super-2 number, since 2×1064553012 = 22665462222001202, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (106455101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53227650 + 53227651.

It is an arithmetic number, because the mean of its divisors is an integer number (53227651).

Almost surely, 2106455301 is an apocalyptic number.

It is an amenable number.

106455301 is a deficient number, since it is larger than the sum of its proper divisors (1).

106455301 is an equidigital number, since it uses as much as digits as its factorization.

106455301 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1800, while the sum is 25.

The square root of 106455301 is about 10317.7178193630. The cubic root of 106455301 is about 473.9389813268.

It can be divided in two parts, 1064 and 55301, that added together give a palindrome (56365).

The spelling of 106455301 in words is "one hundred six million, four hundred fifty-five thousand, three hundred one".