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106141360 = 24513102059
BaseRepresentation
bin1100101001110…
…01011010110000
321101201112120111
412110321122300
5204133010420
614310551104
72426121013
oct624713260
9241645514
10106141360
1154a06636
122b668494
1318cb3c50
141014d37a
1594b945a
hex65396b0

106141360 has 40 divisors (see below), whose sum is σ = 265764240. Its totient is φ = 39190272.

The previous prime is 106141339. The next prime is 106141367. The reversal of 106141360 is 63141601.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×1061413602 = 22531976605299200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106141367) 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 7 ways as a sum of consecutive naturals, for example, 49990 + ... + 52069.

It is an arithmetic number, because the mean of its divisors is an integer number (6644106).

Almost surely, 2106141360 is an apocalyptic number.

106141360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106141360 is an abundant number, since it is smaller than the sum of its proper divisors (159622880).

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

106141360 is a wasteful number, since it uses less digits than its factorization.

106141360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102085 (or 102079 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 106141360 is about 10302.4929022058. The cubic root of 106141360 is about 473.4726341748.

Adding to 106141360 its reverse (63141601), we get a palindrome (169282961).

The spelling of 106141360 in words is "one hundred six million, one hundred forty-one thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 102059 204118 408236 510295 816472 1020590 1326767 1632944 2041180 2653534 4082360 5307068 6633835 8164720 10614136 13267670 21228272 26535340 53070680 106141360