Search a number
-
+
106055268 = 22311803449
BaseRepresentation
bin1100101001001…
…00011001100100
321101120011110220
412110210121210
5204122232033
614305044340
72425312014
oct624443144
9241504426
10106055268
1154957990
122b6266b0
1318c839c7
1410129c44
15949dbb3
hex6524664

106055268 has 24 divisors (see below), whose sum is σ = 269959200. Its totient is φ = 32137920.

The previous prime is 106055263. The next prime is 106055311. The reversal of 106055268 is 862550601.

It is a super-2 number, since 2×1060552682 = 22495439741103648, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (106055263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 401593 + ... + 401856.

It is an arithmetic number, because the mean of its divisors is an integer number (11248300).

Almost surely, 2106055268 is an apocalyptic number.

It is an amenable number.

106055268 is an abundant number, since it is smaller than the sum of its proper divisors (163903932).

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

106055268 is a wasteful number, since it uses less digits than its factorization.

106055268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 803467 (or 803465 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 33.

The square root of 106055268 is about 10298.3138425667. The cubic root of 106055268 is about 473.3445872261.

The spelling of 106055268 in words is "one hundred six million, fifty-five thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 803449 1606898 2410347 3213796 4820694 8837939 9641388 17675878 26513817 35351756 53027634 106055268