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105143400 = 23335219471
BaseRepresentation
bin1100100010001…
…01110001101000
321022211211122000
412101011301220
5203404042100
614233331000
72414463345
oct621056150
9238754560
10105143400
115439487a
122b266a60
1318a2493b
14dd6d7cc
15936d900
hex6445c68

105143400 has 96 divisors (see below), whose sum is σ = 362179200. Its totient is φ = 28036800.

The previous prime is 105143387. The next prime is 105143407. The reversal of 105143400 is 4341501.

It is a happy number.

It is a super-2 number, since 2×1051434002 = 22110269127120000, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (105143407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4336 + ... + 15135.

It is an arithmetic number, because the mean of its divisors is an integer number (3772700).

Almost surely, 2105143400 is an apocalyptic number.

105143400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105143400 is an abundant number, since it is smaller than the sum of its proper divisors (257035800).

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

105143400 is a wasteful number, since it uses less digits than its factorization.

105143400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19496 (or 19481 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 105143400 is about 10253.9455820674. The cubic root of 105143400 is about 471.9840677376.

Adding to 105143400 its reverse (4341501), we get a palindrome (109484901).

The spelling of 105143400 in words is "one hundred five million, one hundred forty-three thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 27 30 36 40 45 50 54 60 72 75 90 100 108 120 135 150 180 200 216 225 270 300 360 450 540 600 675 900 1080 1350 1800 2700 5400 19471 38942 58413 77884 97355 116826 155768 175239 194710 233652 292065 350478 389420 467304 486775 525717 584130 700956 778840 876195 973550 1051434 1168260 1401912 1460325 1752390 1947100 2102868 2336520 2628585 2920650 3504780 3894200 4205736 4380975 5257170 5841300 7009560 8761950 10514340 11682600 13142925 17523900 21028680 26285850 35047800 52571700 105143400