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106161279001 is a prime number
BaseRepresentation
bin110001011011110110…
…1001001000000011001
3101011000120011202010021
41202313231021000121
53214404241412001
6120434140350441
710445526661021
oct1426755110031
9334016152107
10106161279001
1141028302218
12186a9245421
13a01b12616b
1451d1452a81
152b650cdba1
hex18b7b49019

106161279001 has 2 divisors, whose sum is σ = 106161279002. Its totient is φ = 106161279000.

The previous prime is 106161278969. The next prime is 106161279013. The reversal of 106161279001 is 100972161601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 106161278976 + 25 = 325824^2 + 5^2 .

It is an emirp because it is prime and its reverse (100972161601) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 106161279001 - 25 = 106161278969 is a prime.

It is a super-2 number, since 2×1061612790012 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (106161279071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53080639500 + 53080639501.

It is an arithmetic number, because the mean of its divisors is an integer number (53080639501).

Almost surely, 2106161279001 is an apocalyptic number.

It is an amenable number.

106161279001 is a deficient number, since it is larger than the sum of its proper divisors (1).

106161279001 is an equidigital number, since it uses as much as digits as its factorization.

106161279001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4536, while the sum is 34.

The spelling of 106161279001 in words is "one hundred six billion, one hundred sixty-one million, two hundred seventy-nine thousand, one".