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106037282 = 21329672099
BaseRepresentation
bin1100101001000…
…00000000100010
321101112020210202
412110200000202
5204121143112
614304425202
72425205411
oct624400042
9241466722
10106037282
115494541a
122b618202
1318c78770
1410123478
1594986c2
hex6520022

106037282 has 32 divisors (see below), whose sum is σ = 179928000. Its totient is φ = 46525248.

The previous prime is 106037263. The next prime is 106037297. The reversal of 106037282 is 282730601.

It is a happy number.

It is a super-3 number, since 3×1060372823 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49469 + ... + 51567.

It is an arithmetic number, because the mean of its divisors is an integer number (5622750).

Almost surely, 2106037282 is an apocalyptic number.

106037282 is a deficient number, since it is larger than the sum of its proper divisors (73890718).

106037282 is a wasteful number, since it uses less digits than its factorization.

106037282 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2210.

The product of its (nonzero) digits is 4032, while the sum is 29.

The square root of 106037282 is about 10297.4405557886. The cubic root of 106037282 is about 473.3178274142.

Adding to 106037282 its reverse (282730601), we get a palindrome (388767883).

The spelling of 106037282 in words is "one hundred six million, thirty-seven thousand, two hundred eighty-two".

Divisors: 1 2 13 26 29 58 67 134 377 754 871 1742 1943 2099 3886 4198 25259 27287 50518 54574 60871 121742 140633 281266 791323 1582646 1828229 3656458 4078357 8156714 53018641 106037282