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106403000 = 23531117569
BaseRepresentation
bin1100101011110…
…01010010111000
321102012211110212
412111321102320
5204214344000
614320330252
72431260554
oct625712270
9242184425
10106403000
1155075170
122b773988
1319076072
14101ba864
15951bc35
hex65794b8

106403000 has 128 divisors (see below), whose sum is σ = 288100800. Its totient is φ = 36352000.

The previous prime is 106402999. The next prime is 106403053. The reversal of 106403000 is 304601.

It is a super-2 number, since 2×1064030002 = 22643196818000000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 186716 + ... + 187284.

Almost surely, 2106403000 is an apocalyptic number.

106403000 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 106403000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144050400).

106403000 is an abundant number, since it is smaller than the sum of its proper divisors (181697800).

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

106403000 is a wasteful number, since it uses less digits than its factorization.

106403000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 618 (or 604 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 106403000 is about 10315.1829843198. The cubic root of 106403000 is about 473.8613539318.

Adding to 106403000 its reverse (304601), we get a palindrome (106707601).

The spelling of 106403000 in words is "one hundred six million, four hundred three thousand".

Divisors: 1 2 4 5 8 10 11 17 20 22 25 34 40 44 50 55 68 85 88 100 110 125 136 170 187 200 220 250 275 340 374 425 440 500 550 569 680 748 850 935 1000 1100 1138 1375 1496 1700 1870 2125 2200 2276 2750 2845 3400 3740 4250 4552 4675 5500 5690 6259 7480 8500 9350 9673 11000 11380 12518 14225 17000 18700 19346 22760 23375 25036 28450 31295 37400 38692 46750 48365 50072 56900 62590 71125 77384 93500 96730 106403 113800 125180 142250 156475 187000 193460 212806 241825 250360 284500 312950 386920 425612 483650 532015 569000 625900 782375 851224 967300 1064030 1209125 1251800 1564750 1934600 2128060 2418250 2660075 3129500 4256120 4836500 5320150 6259000 9673000 10640300 13300375 21280600 26600750 53201500 106403000