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106041340 = 22553711409
BaseRepresentation
bin1100101001000…
…00111111111100
321101112110101001
412110200333330
5204121310330
614304500044
72425223266
oct624407774
9241473331
10106041340
1154948479
122b61a624
1318c7a572
1410124b36
1594999ca
hex6520ffc

106041340 has 48 divisors (see below), whose sum is σ = 230247360. Its totient is φ = 41000960.

The previous prime is 106041319. The next prime is 106041343. The reversal of 106041340 is 43140601.

It is a happy number.

It is a super-2 number, since 2×1060413402 = 22489531577991200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106041343) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 74556 + ... + 75964.

It is an arithmetic number, because the mean of its divisors is an integer number (4796820).

Almost surely, 2106041340 is an apocalyptic number.

106041340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106041340 is an abundant number, since it is smaller than the sum of its proper divisors (124206020).

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

106041340 is a wasteful number, since it uses less digits than its factorization.

106041340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1542 (or 1540 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 106041340 is about 10297.6375931570. The cubic root of 106041340 is about 473.3238652253.

Adding to 106041340 its reverse (43140601), we get a palindrome (149181941).

The spelling of 106041340 in words is "one hundred six million, forty-one thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 53 71 106 142 212 265 284 355 530 710 1060 1409 1420 2818 3763 5636 7045 7526 14090 15052 18815 28180 37630 74677 75260 100039 149354 200078 298708 373385 400156 500195 746770 1000390 1493540 2000780 5302067 10604134 21208268 26510335 53020670 106041340