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106410330 = 232513103883
BaseRepresentation
bin1100101011110…
…11000101011010
321102020012112100
412111323011122
5204220112310
614320424230
72431321125
oct625730532
9242205470
10106410330
115507a724
122b778076
13190794c0
14101bd3bc
15951dec0
hex657b15a

106410330 has 96 divisors (see below), whose sum is σ = 301182336. Its totient is φ = 25909632.

The previous prime is 106410319. The next prime is 106410341. The reversal of 106410330 is 33014601.

It is an interprime number because it is at equal distance from previous prime (106410319) and next prime (106410341).

It is a super-2 number, since 2×1064103302 = 22646316661417800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 120069 + ... + 120951.

It is an arithmetic number, because the mean of its divisors is an integer number (3137316).

Almost surely, 2106410330 is an apocalyptic number.

106410330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 106410330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150591168).

106410330 is an abundant number, since it is smaller than the sum of its proper divisors (194772006).

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

106410330 is a wasteful number, since it uses less digits than its factorization.

106410330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1012 (or 1009 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 106410330 is about 10315.5382797021. The cubic root of 106410330 is about 473.8722349657.

Adding to 106410330 its reverse (33014601), we get a palindrome (139424931).

The spelling of 106410330 in words is "one hundred six million, four hundred ten thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 103 117 130 195 206 234 309 390 515 585 618 883 927 1030 1170 1339 1545 1766 1854 2649 2678 3090 4017 4415 4635 5298 6695 7947 8034 8830 9270 11479 12051 13245 13390 15894 20085 22958 24102 26490 34437 39735 40170 57395 60255 68874 79470 90949 103311 114790 120510 172185 181898 206622 272847 344370 454745 516555 545694 818541 909490 1033110 1182337 1364235 1637082 2364674 2728470 3547011 4092705 5911685 7094022 8185410 10641033 11823370 17735055 21282066 35470110 53205165 106410330