Search a number
-
+
106758132 = 22313684347
BaseRepresentation
bin1100101110011…
…11111111110100
321102212212121220
412113033333310
5204312230012
614332110340
72434300125
oct627177764
9242785556
10106758132
1155297a68
122b9053b0
131916b8c0
141027004c
15958c08c
hex65cfff4

106758132 has 24 divisors (see below), whose sum is σ = 268264416. Its totient is φ = 32848608.

The previous prime is 106758107. The next prime is 106758133. The reversal of 106758132 is 231857601.

It is a super-2 number, since 2×1067581322 = 22794597496258848, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106758093 and 106758102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106758133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 342018 + ... + 342329.

It is an arithmetic number, because the mean of its divisors is an integer number (11177684).

Almost surely, 2106758132 is an apocalyptic number.

106758132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106758132 is an abundant number, since it is smaller than the sum of its proper divisors (161506284).

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

106758132 is a wasteful number, since it uses less digits than its factorization.

106758132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 684367 (or 684365 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The square root of 106758132 is about 10332.3826874540. The cubic root of 106758132 is about 474.3879570514.

The spelling of 106758132 in words is "one hundred six million, seven hundred fifty-eight thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 684347 1368694 2053041 2737388 4106082 8212164 8896511 17793022 26689533 35586044 53379066 106758132