Search a number
-
+
106162245 = 345737447
BaseRepresentation
bin1100101001111…
…10100001000101
321101202121020000
412110332201011
5204134142440
614311231513
72426235630
oct624764105
9241677200
10106162245
1154a202a2
122b678599
1318cc05c7
1410156c17
1594c0730
hex653e845

106162245 has 40 divisors (see below), whose sum is σ = 217497984. Its totient is φ = 48530016.

The previous prime is 106162241. The next prime is 106162247. The reversal of 106162245 is 542261601.

106162245 is a `hidden beast` number, since 1 + 0 + 616 + 2 + 2 + 45 = 666.

It is not a de Polignac number, because 106162245 - 22 = 106162241 is a prime.

It is a super-2 number, since 2×1061622452 = 22540844526880050, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106162241) 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 39 ways as a sum of consecutive naturals, for example, 15889 + ... + 21558.

Almost surely, 2106162245 is an apocalyptic number.

106162245 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

106162245 is an abundant number, since it is smaller than the sum of its proper divisors (111335739).

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

106162245 is an equidigital number, since it uses as much as digits as its factorization.

106162245 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37471 (or 37462 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 106162245 is about 10303.5064419837. The cubic root of 106162245 is about 473.5036865608.

The spelling of 106162245 in words is "one hundred six million, one hundred sixty-two thousand, two hundred forty-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 81 105 135 189 315 405 567 945 2835 37447 112341 187235 262129 337023 561705 786387 1011069 1310645 1685115 2359161 3033207 3931935 5055345 7077483 11795805 15166035 21232449 35387415 106162245