Search a number
-
+
107066421 = 3373111051
BaseRepresentation
bin1100110000110…
…11010000110101
321110110112112000
412120123100311
5204402111141
614342445513
72440023000
oct630332065
9243415460
10107066421
1155488650
122ba33899
1319249017
1410310537
1595ed5b6
hex661b435

107066421 has 64 divisors (see below), whose sum is σ = 201984000. Its totient is φ = 55566000.

The previous prime is 107066381. The next prime is 107066429. The reversal of 107066421 is 124660701.

107066421 is a `hidden beast` number, since 10 + 7 + 0 + 6 + 642 + 1 = 666.

It is not a de Polignac number, because 107066421 - 215 = 107033653 is a prime.

It is a super-2 number, since 2×1070664212 = 22926437011498482, 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 (107066429) 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 63 ways as a sum of consecutive naturals, for example, 101346 + ... + 102396.

It is an arithmetic number, because the mean of its divisors is an integer number (3156000).

Almost surely, 2107066421 is an apocalyptic number.

107066421 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

107066421 is a deficient number, since it is larger than the sum of its proper divisors (94917579).

107066421 is a wasteful number, since it uses less digits than its factorization.

107066421 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1092 (or 1072 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 107066421 is about 10347.2905149126. The cubic root of 107066421 is about 474.8441534895.

The spelling of 107066421 in words is "one hundred seven million, sixty-six thousand, four hundred twenty-one".

Divisors: 1 3 7 9 11 21 27 33 49 63 77 99 147 189 231 297 343 441 539 693 1029 1051 1323 1617 2079 3087 3153 3773 4851 7357 9261 9459 11319 11561 14553 22071 28377 33957 34683 51499 66213 80927 101871 104049 154497 198639 242781 312147 360493 463491 566489 728343 1081479 1390473 1699467 2185029 3244437 3965423 5098401 9733311 11896269 15295203 35688807 107066421