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105502000 = 24531729107
BaseRepresentation
bin1100100100111…
…01010100110000
321100112001112111
412102131110300
5204002031000
614245135104
72420516002
oct622352460
9240461474
10105502000
115460a23a
122b3ba494
1318b1bc26
1410024372
1593decba
hex649d530

105502000 has 160 divisors (see below), whose sum is σ = 282035520. Its totient is φ = 37990400.

The previous prime is 105501967. The next prime is 105502027. The reversal of 105502000 is 205501.

It is a super-2 number, since 2×1055020002 = 22261344008000000, which contains 22 as substring.

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, 985947 + ... + 986053.

It is an arithmetic number, because the mean of its divisors is an integer number (1762722).

Almost surely, 2105502000 is an apocalyptic number.

105502000 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 105502000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141017760).

105502000 is an abundant number, since it is smaller than the sum of its proper divisors (176533520).

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

105502000 is a wasteful number, since it uses less digits than its factorization.

105502000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 50, while the sum is 13.

The square root of 105502000 is about 10271.4166501024. The cubic root of 105502000 is about 472.5200387160.

Adding to 105502000 its reverse (205501), we get a palindrome (105707501).

The spelling of 105502000 in words is "one hundred five million, five hundred two thousand".

Divisors: 1 2 4 5 8 10 16 17 20 25 29 34 40 50 58 68 80 85 100 107 116 125 136 145 170 200 214 232 250 272 290 340 400 425 428 464 493 500 535 580 680 725 850 856 986 1000 1070 1160 1360 1450 1700 1712 1819 1972 2000 2125 2140 2320 2465 2675 2900 3103 3400 3625 3638 3944 4250 4280 4930 5350 5800 6206 6800 7250 7276 7888 8500 8560 9095 9860 10700 11600 12325 12412 13375 14500 14552 15515 17000 18190 19720 21400 24650 24824 26750 29000 29104 31030 34000 36380 39440 42800 45475 49300 49648 52751 53500 58000 61625 62060 72760 77575 90950 98600 105502 107000 123250 124120 145520 155150 181900 197200 211004 214000 227375 246500 248240 263755 310300 363800 387875 422008 454750 493000 527510 620600 727600 775750 844016 909500 986000 1055020 1241200 1318775 1551500 1819000 2110040 2637550 3103000 3638000 4220080 5275100 6206000 6593875 10550200 13187750 21100400 26375500 52751000 105502000