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106046821 is a prime number
BaseRepresentation
bin1100101001000…
…10010101100101
321101112201220001
412110202111211
5204121444241
614304541301
72425245256
oct624422545
9241481801
10106046821
1154951601
122b621831
1318c7cbca
1410126b2d
15949b431
hex6522565

106046821 has 2 divisors, whose sum is σ = 106046822. Its totient is φ = 106046820.

The previous prime is 106046819. The next prime is 106046839. The reversal of 106046821 is 128640601.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 105801796 + 245025 = 10286^2 + 495^2 .

It is a cyclic number.

It is not a de Polignac number, because 106046821 - 21 = 106046819 is a prime.

It is a super-2 number, since 2×1060468212 = 22491856488412082, which contains 22 as substring.

Together with 106046819, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 106046821.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (106046021) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53023410 + 53023411.

It is an arithmetic number, because the mean of its divisors is an integer number (53023411).

Almost surely, 2106046821 is an apocalyptic number.

It is an amenable number.

106046821 is a deficient number, since it is larger than the sum of its proper divisors (1).

106046821 is an equidigital number, since it uses as much as digits as its factorization.

106046821 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 106046821 is about 10297.9037187187. The cubic root of 106046821 is about 473.3320200431.

The spelling of 106046821 in words is "one hundred six million, forty-six thousand, eight hundred twenty-one".