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106144116 = 22313680411
BaseRepresentation
bin1100101001110…
…10000101110100
321101201200100120
412110322011310
5204133102431
614311011540
72426132031
oct624720564
9241650316
10106144116
1154a08711
122b669bb0
1318cb5290
1410150388
1594ba196
hex653a174

106144116 has 24 divisors (see below), whose sum is σ = 266721504. Its totient is φ = 32659680.

The previous prime is 106144111. The next prime is 106144123. The reversal of 106144116 is 611441601.

It is a super-2 number, since 2×1061441162 = 22533146722842912, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106144111) 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, 340050 + ... + 340361.

It is an arithmetic number, because the mean of its divisors is an integer number (11113396).

Almost surely, 2106144116 is an apocalyptic number.

It is an amenable number.

106144116 is an abundant number, since it is smaller than the sum of its proper divisors (160577388).

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

106144116 is a wasteful number, since it uses less digits than its factorization.

106144116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 680431 (or 680429 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 106144116 is about 10302.6266553729. The cubic root of 106144116 is about 473.4767321038.

Adding to 106144116 its reverse (611441601), we get a palindrome (717585717).

The spelling of 106144116 in words is "one hundred six million, one hundred forty-four thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 680411 1360822 2041233 2721644 4082466 8164932 8845343 17690686 26536029 35381372 53072058 106144116