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106405202597 is a prime number
BaseRepresentation
bin110001100011000111…
…1101000101010100101
3101011122120011100101112
41203012033220222211
53220404212440342
6120514252434405
710454551204361
oct1430617505245
9334576140345
10106405202597
1141142a65671
1218756a78a05
13a05981bb55
1452159ca2a1
152b7b712682
hex18c63e8aa5

106405202597 has 2 divisors, whose sum is σ = 106405202598. Its totient is φ = 106405202596.

The previous prime is 106405202591. The next prime is 106405202609. The reversal of 106405202597 is 795202504601.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 99875592961 + 6529609636 = 316031^2 + 80806^2 .

It is an emirp because it is prime and its reverse (795202504601) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 106405202597 - 24 = 106405202581 is a prime.

It is a super-2 number, since 2×1064052025972 (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 (106405202591) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53202601298 + 53202601299.

It is an arithmetic number, because the mean of its divisors is an integer number (53202601299).

Almost surely, 2106405202597 is an apocalyptic number.

It is an amenable number.

106405202597 is a deficient number, since it is larger than the sum of its proper divisors (1).

106405202597 is an equidigital number, since it uses as much as digits as its factorization.

106405202597 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 151200, while the sum is 41.

The spelling of 106405202597 in words is "one hundred six billion, four hundred five million, two hundred two thousand, five hundred ninety-seven".