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106906867201 is a prime number
BaseRepresentation
bin110001110010000100…
…1010101011000000001
3101012221112010112212001
41203210021111120001
53222421124222301
6121040133104001
710503152243401
oct1434411253001
9335845115761
10106906867201
1141380159712
1218876a88001
13a109737804
145262496801
152baa7a8c01
hex18e4255601

106906867201 has 2 divisors, whose sum is σ = 106906867202. Its totient is φ = 106906867200.

The previous prime is 106906867181. The next prime is 106906867211. The reversal of 106906867201 is 102768609601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 105508032400 + 1398834801 = 324820^2 + 37401^2 .

It is a cyclic number.

It is not a de Polignac number, because 106906867201 - 25 = 106906867169 is a prime.

It is a super-2 number, since 2×1069068672012 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (106906867211) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53453433600 + 53453433601.

It is an arithmetic number, because the mean of its divisors is an integer number (53453433601).

Almost surely, 2106906867201 is an apocalyptic number.

It is an amenable number.

106906867201 is a deficient number, since it is larger than the sum of its proper divisors (1).

106906867201 is an equidigital number, since it uses as much as digits as its factorization.

106906867201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 217728, while the sum is 46.

The spelling of 106906867201 in words is "one hundred six billion, nine hundred six million, eight hundred sixty-seven thousand, two hundred one".