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106055541 = 33127157197
BaseRepresentation
bin1100101001001…
…00011101110101
321101120011212000
412110210131311
5204122234131
614305045513
72425312554
oct624443565
9241504760
10106055541
1154958109
122b626899
1318c83b77
1410129d9b
15949dce6
hex6524775

106055541 has 32 divisors (see below), whose sum is σ = 160174080. Its totient is φ = 69346368.

The previous prime is 106055527. The next prime is 106055567. The reversal of 106055541 is 145550601.

It is a happy number.

106055541 is a `hidden beast` number, since 1 + 0 + 605 + 5 + 54 + 1 = 666.

It is not a de Polignac number, because 106055541 - 29 = 106055029 is a prime.

It is a super-2 number, since 2×1060555412 = 22495555553605362, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106055591) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 538255 + ... + 538451.

It is an arithmetic number, because the mean of its divisors is an integer number (5005440).

Almost surely, 2106055541 is an apocalyptic number.

It is an amenable number.

106055541 is a deficient number, since it is larger than the sum of its proper divisors (54118539).

106055541 is a wasteful number, since it uses less digits than its factorization.

106055541 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 490 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

The square root of 106055541 is about 10298.3270971551. The cubic root of 106055541 is about 473.3449933758.

The spelling of 106055541 in words is "one hundred six million, fifty-five thousand, five hundred forty-one".

Divisors: 1 3 9 27 127 157 197 381 471 591 1143 1413 1773 3429 4239 5319 19939 25019 30929 59817 75057 92787 179451 225171 278361 538353 675513 835083 3927983 11783949 35351847 106055541