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106154601221 is a prime number
BaseRepresentation
bin110001011011101001…
…1101010101100000101
3101011000002121110221002
41202313103222230011
53214401034214341
6120433341303045
710445416136204
oct1426723525405
9334002543832
10106154601221
1141024561099
12186a6b64a85
13a019928806
1451d05d523b
152b6471029b
hex18b74eab05

106154601221 has 2 divisors, whose sum is σ = 106154601222. Its totient is φ = 106154601220.

The previous prime is 106154601197. The next prime is 106154601229. The reversal of 106154601221 is 122106451601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 81367562500 + 24787038721 = 285250^2 + 157439^2 .

It is a cyclic number.

It is not a de Polignac number, because 106154601221 - 218 = 106154339077 is a prime.

It is a super-2 number, since 2×1061546012212 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (106154601229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53077300610 + 53077300611.

It is an arithmetic number, because the mean of its divisors is an integer number (53077300611).

Almost surely, 2106154601221 is an apocalyptic number.

It is an amenable number.

106154601221 is a deficient number, since it is larger than the sum of its proper divisors (1).

106154601221 is an equidigital number, since it uses as much as digits as its factorization.

106154601221 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2880, while the sum is 29.

The spelling of 106154601221 in words is "one hundred six billion, one hundred fifty-four million, six hundred one thousand, two hundred twenty-one".