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106137589 is a prime number
BaseRepresentation
bin1100101001110…
…00011111110101
321101201100101211
412110320133311
5204132400324
614310521421
72426104015
oct624703765
9241640354
10106137589
1154a03818
122b666271
1318cb230c
141014bc45
1594b8294
hex65387f5

106137589 has 2 divisors, whose sum is σ = 106137590. Its totient is φ = 106137588.

The previous prime is 106137557. The next prime is 106137601. The reversal of 106137589 is 985731601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 60575089 + 45562500 = 7783^2 + 6750^2 .

It is a cyclic number.

It is not a de Polignac number, because 106137589 - 25 = 106137557 is a prime.

It is a super-2 number, since 2×1061375892 = 22530375597465842, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (106137509) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53068794 + 53068795.

It is an arithmetic number, because the mean of its divisors is an integer number (53068795).

Almost surely, 2106137589 is an apocalyptic number.

It is an amenable number.

106137589 is a deficient number, since it is larger than the sum of its proper divisors (1).

106137589 is an equidigital number, since it uses as much as digits as its factorization.

106137589 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 45360, while the sum is 40.

The square root of 106137589 is about 10302.3098866225. The cubic root of 106137589 is about 473.4670269153.

The spelling of 106137589 in words is "one hundred six million, one hundred thirty-seven thousand, five hundred eighty-nine".