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106146282 = 23112293499
BaseRepresentation
bin1100101001110…
…10100111101010
321101201210022210
412110322213222
5204133140112
614311025550
72426141244
oct624724752
9241653283
10106146282
1154a0a300
122b66b2b6
1318cb6268
1410151094
1594bab3c
hex653a9ea

106146282 has 48 divisors (see below), whose sum is σ = 234612000. Its totient is φ = 31991520.

The previous prime is 106146241. The next prime is 106146319. The reversal of 106146282 is 282641601.

It is a super-2 number, since 2×1061462822 = 22534066364847048, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 212469 + ... + 212967.

It is an arithmetic number, because the mean of its divisors is an integer number (4887750).

Almost surely, 2106146282 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106146282, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117306000).

106146282 is an abundant number, since it is smaller than the sum of its proper divisors (128465718).

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

106146282 is a wasteful number, since it uses less digits than its factorization.

106146282 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 819 (or 808 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 106146282 is about 10302.7317736608. The cubic root of 106146282 is about 473.4799527051.

Adding to 106146282 its reverse (282641601), we get a palindrome (388787883).

The spelling of 106146282 in words is "one hundred six million, one hundred forty-six thousand, two hundred eighty-two".

Divisors: 1 2 3 6 11 22 33 66 121 242 293 363 499 586 726 879 998 1497 1758 2994 3223 5489 6446 9669 10978 16467 19338 32934 35453 60379 70906 106359 120758 146207 181137 212718 292414 362274 438621 877242 1608277 3216554 4824831 9649662 17691047 35382094 53073141 106146282