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106679985 = 3571100169
BaseRepresentation
bin1100101101111…
…00111010110001
321102201220102120
412112330322301
5204302224420
614330304453
72433523236
oct626747261
9242656376
10106679985
1155244285
122b888129
1319142169
141024d78d
159573d40
hex65bceb1

106679985 has 16 divisors (see below), whose sum is σ = 173093760. Its totient is φ = 56094080.

The previous prime is 106679933. The next prime is 106680001. The reversal of 106679985 is 589976601.

It is not a de Polignac number, because 106679985 - 211 = 106677937 is a prime.

It is a super-2 number, since 2×1066799852 = 22761238399200450, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49020 + ... + 51149.

It is an arithmetic number, because the mean of its divisors is an integer number (10818360).

Almost surely, 2106679985 is an apocalyptic number.

106679985 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

106679985 is a deficient number, since it is larger than the sum of its proper divisors (66413775).

106679985 is a wasteful number, since it uses less digits than its factorization.

106679985 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100248.

The product of its (nonzero) digits is 816480, while the sum is 51.

The square root of 106679985 is about 10328.6003408013. The cubic root of 106679985 is about 474.2721780650.

The spelling of 106679985 in words is "one hundred six million, six hundred seventy-nine thousand, nine hundred eighty-five".

Divisors: 1 3 5 15 71 213 355 1065 100169 300507 500845 1502535 7111999 21335997 35559995 106679985