Search a number
-
+
106605756 = 22322961271
BaseRepresentation
bin1100101101010…
…10110010111100
321102121010121100
412112222302330
5204242341011
614324533100
72433063645
oct626526274
9242533540
10106605756
11551a3534
122b851190
131911743a
14102306cc
15955bd56
hex65aacbc

106605756 has 18 divisors (see below), whose sum is σ = 269475752. Its totient is φ = 35535240.

The previous prime is 106605731. The next prime is 106605767. The reversal of 106605756 is 657506601.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×1066057562 = 22729574424663072, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 2961271 = 106605756 / (1 + 0 + 6 + 6 + 0 + 5 + 7 + 5 + 6).

It is a self number, because there is not a number n which added to its sum of digits gives 106605756.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1480600 + ... + 1480671.

Almost surely, 2106605756 is an apocalyptic number.

It is an amenable number.

106605756 is an abundant number, since it is smaller than the sum of its proper divisors (162869996).

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

106605756 is a wasteful number, since it uses less digits than its factorization.

106605756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2961281 (or 2961276 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 106605756 is about 10325.0063438237. The cubic root of 106605756 is about 474.1621514343.

The spelling of 106605756 in words is "one hundred six million, six hundred five thousand, seven hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 36 2961271 5922542 8883813 11845084 17767626 26651439 35535252 53302878 106605756