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106119860 = 22571168909
BaseRepresentation
bin1100101001101…
…00001010110100
321101200110002012
412110310022310
5204131313420
614310303352
72426001230
oct624641264
9241613065
10106119860
11549a1470
122b657b58
1318ca7222
14101455c0
1594b2dc5
hex65342b4

106119860 has 48 divisors (see below), whose sum is σ = 277845120. Its totient is φ = 33075840.

The previous prime is 106119859. The next prime is 106119863. The reversal of 106119860 is 68911601.

It is a super-3 number, since 3×1061198603 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106119863) 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, 32915 + ... + 35994.

It is an arithmetic number, because the mean of its divisors is an integer number (5788440).

Almost surely, 2106119860 is an apocalyptic number.

106119860 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106119860 is an abundant number, since it is smaller than the sum of its proper divisors (171725260).

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

106119860 is a wasteful number, since it uses less digits than its factorization.

106119860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68936 (or 68934 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 32.

The square root of 106119860 is about 10301.4494125827. The cubic root of 106119860 is about 473.4406631346.

The spelling of 106119860 in words is "one hundred six million, one hundred nineteen thousand, eight hundred sixty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 140 154 220 308 385 770 1540 68909 137818 275636 344545 482363 689090 757999 964726 1378180 1515998 1929452 2411815 3031996 3789995 4823630 5305993 7579990 9647260 10611986 15159980 21223972 26529965 53059930 106119860