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106572061 is a prime number
BaseRepresentation
bin1100101101000…
…10100100011101
321102112102101101
412112202210131
5204240301221
614324113101
72432563501
oct626424435
9242472341
10106572061
1155180192
122b835791
1319104cbb
1410222301
159551d91
hex65a291d

106572061 has 2 divisors, whose sum is σ = 106572062. Its totient is φ = 106572060.

The previous prime is 106572049. The next prime is 106572073. The reversal of 106572061 is 160275601.

It is the 4215-th star number.

It is a balanced prime because it is at equal distance from previous prime (106572049) and next prime (106572073).

It can be written as a sum of positive squares in only one way, i.e., 70644025 + 35928036 = 8405^2 + 5994^2 .

It is a cyclic number.

It is not a de Polignac number, because 106572061 - 217 = 106440989 is a prime.

It is a super-2 number, since 2×1065720612 = 22715208371575442, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (106572001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53286030 + 53286031.

It is an arithmetic number, because the mean of its divisors is an integer number (53286031).

Almost surely, 2106572061 is an apocalyptic number.

It is an amenable number.

106572061 is a deficient number, since it is larger than the sum of its proper divisors (1).

106572061 is an equidigital number, since it uses as much as digits as its factorization.

106572061 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2520, while the sum is 28.

The square root of 106572061 is about 10323.3744967428. The cubic root of 106572061 is about 474.1121898504.

The spelling of 106572061 in words is "one hundred six million, five hundred seventy-two thousand, sixty-one".