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106775388 = 2233988661
BaseRepresentation
bin1100101110101…
…00001101011100
321102220202022000
412113110031130
5204313303023
614332322300
72434401336
oct627241534
9242822260
10106775388
11552a9a25
122b913390
1319176705
1410276456
159592243
hex65d435c

106775388 has 24 divisors (see below), whose sum is σ = 276825360. Its totient is φ = 35591760.

The previous prime is 106775387. The next prime is 106775411. The reversal of 106775388 is 883577601.

106775388 is a `hidden beast` number, since 106 + 7 + 7 + 538 + 8 = 666.

It is a super-3 number, since 3×1067753883 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106775387) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 494223 + ... + 494438.

It is an arithmetic number, because the mean of its divisors is an integer number (11534390).

Almost surely, 2106775388 is an apocalyptic number.

106775388 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

106775388 is an abundant number, since it is smaller than the sum of its proper divisors (170049972).

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

106775388 is a wasteful number, since it uses less digits than its factorization.

106775388 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 988674 (or 988666 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The square root of 106775388 is about 10333.2176982777. The cubic root of 106775388 is about 474.4135151281.

The spelling of 106775388 in words is "one hundred six million, seven hundred seventy-five thousand, three hundred eighty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 988661 1977322 2965983 3954644 5931966 8897949 11863932 17795898 26693847 35591796 53387694 106775388