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106051941 = 3217368113
BaseRepresentation
bin1100101001000…
…11100101100101
321101112222220200
412110203211211
5204122130231
614305021113
72425266222
oct624434545
9241488820
10106051941
1154955436
122b624799
1318c82338
1410128949
15949cbe6
hex6523965

106051941 has 12 divisors (see below), whose sum is σ = 154073868. Its totient is φ = 70291584.

The previous prime is 106051937. The next prime is 106051949. The reversal of 106051941 is 149150601.

106051941 is a `hidden beast` number, since 1 + 0 + 605 + 19 + 41 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 66096900 + 39955041 = 8130^2 + 6321^2 .

It is not a de Polignac number, because 106051941 - 22 = 106051937 is a prime.

It is a super-2 number, since 2×1060519412 = 22494028379734962, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106051949) 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 in 11 ways as a sum of consecutive naturals, for example, 32500 + ... + 35613.

It is an arithmetic number, because the mean of its divisors is an integer number (12839489).

Almost surely, 2106051941 is an apocalyptic number.

It is an amenable number.

106051941 is a deficient number, since it is larger than the sum of its proper divisors (48021927).

106051941 is a wasteful number, since it uses less digits than its factorization.

106051941 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68292 (or 68289 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The square root of 106051941 is about 10298.1523100020. The cubic root of 106051941 is about 473.3396374990.

The spelling of 106051941 in words is "one hundred six million, fifty-one thousand, nine hundred forty-one".

Divisors: 1 3 9 173 519 1557 68113 204339 613017 11783549 35350647 106051941