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105140700 = 22335275563
BaseRepresentation
bin1100100010001…
…01000111011100
321022211200221000
412101011013130
5203404000300
614233310300
72414452440
oct621050734
9238750830
10105140700
1154392845
122b265390
1318a23642
14dd6c820
15936cc00
hex64451dc

105140700 has 144 divisors (see below), whose sum is σ = 386364160. Its totient is φ = 24027840.

The previous prime is 105140677. The next prime is 105140701. The reversal of 105140700 is 7041501.

It is a super-2 number, since 2×1051407002 = 22109133592980000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105140701) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16119 + ... + 21681.

Almost surely, 2105140700 is an apocalyptic number.

105140700 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105140700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193182080).

105140700 is an abundant number, since it is smaller than the sum of its proper divisors (281223460).

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

105140700 is a wasteful number, since it uses less digits than its factorization.

105140700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5593 (or 5580 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 18.

The square root of 105140700 is about 10253.8139245844. The cubic root of 105140700 is about 471.9800276429.

The spelling of 105140700 in words is "one hundred five million, one hundred forty thousand, seven hundred".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 25 27 28 30 35 36 42 45 50 54 60 63 70 75 84 90 100 105 108 126 135 140 150 175 180 189 210 225 252 270 300 315 350 378 420 450 525 540 630 675 700 756 900 945 1050 1260 1350 1575 1890 2100 2700 3150 3780 4725 5563 6300 9450 11126 16689 18900 22252 27815 33378 38941 50067 55630 66756 77882 83445 100134 111260 116823 139075 150201 155764 166890 194705 200268 233646 250335 278150 300402 333780 350469 389410 417225 467292 500670 556300 584115 600804 700938 751005 778820 834450 973525 1001340 1051407 1168230 1251675 1401876 1502010 1668900 1752345 1947050 2102814 2336460 2503350 2920575 3004020 3504690 3755025 3894100 4205628 5006700 5257035 5841150 7009380 7510050 8761725 10514070 11682300 15020100 17523450 21028140 26285175 35046900 52570350 105140700