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106107678 = 23311317389
BaseRepresentation
bin1100101001100…
…01001100011110
321101122211101000
412110301030132
5204130421203
614310131130
72425620555
oct624611436
9241584330
10106107678
11549932a6
122b650aa6
1318ca1811
1410140d9c
1594ae4a3
hex653131e

106107678 has 32 divisors (see below), whose sum is σ = 237895200. Its totient is φ = 35054208.

The previous prime is 106107653. The next prime is 106107679. The reversal of 106107678 is 876701601.

It is a happy number.

It is a super-2 number, since 2×1061076782 = 22517678661103368, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106107679) 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 15 ways as a sum of consecutive naturals, for example, 2593 + ... + 14796.

It is an arithmetic number, because the mean of its divisors is an integer number (7434225).

Almost surely, 2106107678 is an apocalyptic number.

106107678 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

106107678 is an abundant number, since it is smaller than the sum of its proper divisors (131787522).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

106107678 is a wasteful number, since it uses less digits than its factorization.

106107678 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17513 (or 17507 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The square root of 106107678 is about 10300.8581195937. The cubic root of 106107678 is about 473.4225462780.

The spelling of 106107678 in words is "one hundred six million, one hundred seven thousand, six hundred seventy-eight".

Divisors: 1 2 3 6 9 18 27 54 113 226 339 678 1017 2034 3051 6102 17389 34778 52167 104334 156501 313002 469503 939006 1964957 3929914 5894871 11789742 17684613 35369226 53053839 106107678