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106135741 is a prime number
BaseRepresentation
bin1100101001110…
…00000010111101
321101201020212101
412110320002331
5204132320431
614310505101
72426065435
oct624700275
9241636771
10106135741
1154a02398
122b665191
1318cb151a
141014b2c5
1594b7961
hex65380bd

106135741 has 2 divisors, whose sum is σ = 106135742. Its totient is φ = 106135740.

The previous prime is 106135727. The next prime is 106135763. The reversal of 106135741 is 147531601.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 68128516 + 38007225 = 8254^2 + 6165^2 .

It is a cyclic number.

It is not a de Polignac number, because 106135741 - 27 = 106135613 is a prime.

It is a super-2 number, since 2×1061357412 = 22529591035238162, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (106135781) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53067870 + 53067871.

It is an arithmetic number, because the mean of its divisors is an integer number (53067871).

Almost surely, 2106135741 is an apocalyptic number.

It is an amenable number.

106135741 is a deficient number, since it is larger than the sum of its proper divisors (1).

106135741 is an equidigital number, since it uses as much as digits as its factorization.

106135741 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2520, while the sum is 28.

The square root of 106135741 is about 10302.2201976079. The cubic root of 106135741 is about 473.4642789974.

The spelling of 106135741 in words is "one hundred six million, one hundred thirty-five thousand, seven hundred forty-one".