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106060977 = 32112172337
BaseRepresentation
bin1100101001001…
…01110010110001
321101120110022100
412110211302301
5204122422402
614305131013
72425334451
oct624456261
9241513270
10106060977
1154961200
122b629a69
1318c86499
141012bd61
1594a071c
hex6525cb1

106060977 has 54 divisors (see below), whose sum is σ = 179411414. Its totient is φ = 60318720.

The previous prime is 106060961. The next prime is 106060987. The reversal of 106060977 is 779060601.

It can be written as a sum of positive squares in 3 ways, for example, as 30735936 + 75325041 = 5544^2 + 8679^2 .

It is not a de Polignac number, because 106060977 - 24 = 106060961 is a prime.

It is a super-2 number, since 2×1060609772 = 22497861684389058, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (106060987) 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 53 ways as a sum of consecutive naturals, for example, 314553 + ... + 314889.

Almost surely, 2106060977 is an apocalyptic number.

106060977 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

106060977 is a deficient number, since it is larger than the sum of its proper divisors (73350437).

106060977 is a wasteful number, since it uses less digits than its factorization.

106060977 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399 (or 368 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 36.

The square root of 106060977 is about 10298.5910201347. The cubic root of 106060977 is about 473.3530805202.

The spelling of 106060977 in words is "one hundred six million, sixty thousand, nine hundred seventy-seven".

Divisors: 1 3 9 11 17 33 51 99 121 153 187 289 337 363 561 867 1011 1089 1683 2057 2601 3033 3179 3707 5729 6171 9537 11121 17187 18513 28611 33363 34969 40777 51561 63019 97393 104907 122331 189057 292179 314721 366993 567171 693209 876537 1071323 2079627 3213969 6238881 9641907 11784553 35353659 106060977