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106364989 is a prime number
BaseRepresentation
bin1100101011100…
…00000000111101
321102010220100001
412111300000331
5204212134424
614315434301
72431042003
oct625600075
9242126301
10106364989
1155049655
122b755991
1319061983
14101aaa73
159510844
hex657003d

106364989 has 2 divisors, whose sum is σ = 106364990. Its totient is φ = 106364988.

The previous prime is 106364969. The next prime is 106365001. The reversal of 106364989 is 989463601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 75116889 + 31248100 = 8667^2 + 5590^2 .

It is a cyclic number.

It is not a de Polignac number, because 106364989 - 27 = 106364861 is a prime.

It is a super-2 number, since 2×1063649892 = 22627021769940242, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (106364959) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53182494 + 53182495.

It is an arithmetic number, because the mean of its divisors is an integer number (53182495).

Almost surely, 2106364989 is an apocalyptic number.

It is an amenable number.

106364989 is a deficient number, since it is larger than the sum of its proper divisors (1).

106364989 is an equidigital number, since it uses as much as digits as its factorization.

106364989 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 279936, while the sum is 46.

The square root of 106364989 is about 10313.3403415188. The cubic root of 106364989 is about 473.8049204065.

It can be divided in two parts, 10636 and 4989, that added together give a 6-th power (15625 = 56).

The spelling of 106364989 in words is "one hundred six million, three hundred sixty-four thousand, nine hundred eighty-nine".