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108243216 = 2434174
BaseRepresentation
bin1100111001110…
…10100100010000
321112200022210000
412130322210100
5210202240331
614424010000
72453023614
oct634724420
9245608700
10108243216
1156111804
1230300900
131956b853
1410539344
1597820e6
hex673a910

108243216 has 125 divisors (see below), whose sum is σ = 332867491. Its totient is φ = 33958656.

The previous prime is 108243197. The next prime is 108243251. The reversal of 108243216 is 612342801.

The square root of 108243216 is 10404.

It is a perfect power (a square, a biquadrate), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 33593616 + 74649600 = 5796^2 + 8640^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 108243216.

It is an unprimeable number.

It is a polite number, since it can be written in 24 ways as a sum of consecutive naturals, for example, 6367240 + ... + 6367256.

Almost surely, 2108243216 is an apocalyptic number.

108243216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

108243216 is the 10404-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 108243216

108243216 is an abundant number, since it is smaller than the sum of its proper divisors (224624275).

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

108243216 is an frugal number, since it uses more digits than its factorization.

108243216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 22 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The cubic root of 108243216 is about 476.5775302922.

Multiplying 108243216 by its product of nonzero digits (2304), we get a square (249392369664 = 4993922).

The spelling of 108243216 in words is "one hundred eight million, two hundred forty-three thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 34 36 48 51 54 68 72 81 102 108 136 144 153 162 204 216 272 289 306 324 408 432 459 578 612 648 816 867 918 1156 1224 1296 1377 1734 1836 2312 2448 2601 2754 3468 3672 4624 4913 5202 5508 6936 7344 7803 9826 10404 11016 13872 14739 15606 19652 20808 22032 23409 29478 31212 39304 41616 44217 46818 58956 62424 78608 83521 88434 93636 117912 124848 132651 167042 176868 187272 235824 250563 265302 334084 353736 374544 397953 501126 530604 668168 707472 751689 795906 1002252 1061208 1336336 1503378 1591812 2004504 2122416 2255067 3006756 3183624 4009008 4510134 6013512 6367248 6765201 9020268 12027024 13530402 18040536 27060804 36081072 54121608 108243216