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106659377 = 1117678513
BaseRepresentation
bin1100101101101…
…11111000110001
321102200212011022
412112313320301
5204301100002
614330025225
72433406166
oct626677061
9242625138
10106659377
115522a850
122b878215
1319135976
141024606d
15956cba2
hex65b7e31

106659377 has 16 divisors (see below), whose sum is σ = 125053632. Its totient is φ = 89886720.

The previous prime is 106659359. The next prime is 106659379. The reversal of 106659377 is 773956601.

It is not a de Polignac number, because 106659377 - 222 = 102465073 is a prime.

It is a super-2 number, since 2×1066593772 = 22752445404056258, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106659379) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8273 + ... + 16785.

It is an arithmetic number, because the mean of its divisors is an integer number (7815852).

Almost surely, 2106659377 is an apocalyptic number.

106659377 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

106659377 is a deficient number, since it is larger than the sum of its proper divisors (18394255).

106659377 is a wasteful number, since it uses less digits than its factorization.

106659377 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8608.

The product of its (nonzero) digits is 238140, while the sum is 44.

The square root of 106659377 is about 10327.6026743867. The cubic root of 106659377 is about 474.2416367832.

The spelling of 106659377 in words is "one hundred six million, six hundred fifty-nine thousand, three hundred seventy-seven".

Divisors: 1 11 17 67 187 737 1139 8513 12529 93643 144721 570371 1591931 6274081 9696307 106659377