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108380916 = 2235717937
BaseRepresentation
bin1100111010111…
…00001011110100
321112221022200000
412131130023310
5210221142131
614430551300
72454136230
oct635341364
9245838600
10108380916
11561a6206
1230368530
13195b9427
14105735c0
1597acce6
hex675c2f4

108380916 has 144 divisors (see below), whose sum is σ = 344163456. Its totient is φ = 29113344.

The previous prime is 108380897. The next prime is 108380927. The reversal of 108380916 is 619083801.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 115200 + ... + 116136.

It is an arithmetic number, because the mean of its divisors is an integer number (2390024).

Almost surely, 2108380916 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 108380916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172081728).

108380916 is an abundant number, since it is smaller than the sum of its proper divisors (235782540).

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

108380916 is a wasteful number, since it uses less digits than its factorization.

108380916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 980 (or 966 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 108380916 is about 10410.6155437611. The cubic root of 108380916 is about 476.7795350003.

The spelling of 108380916 in words is "one hundred eight million, three hundred eighty thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 27 28 34 36 42 51 54 63 68 81 84 102 108 119 126 153 162 189 204 238 243 252 306 324 357 378 459 476 486 567 612 714 756 918 937 972 1071 1134 1377 1428 1701 1836 1874 2142 2268 2754 2811 3213 3402 3748 4131 4284 5508 5622 6426 6559 6804 8262 8433 9639 11244 12852 13118 15929 16524 16866 19278 19677 25299 26236 28917 31858 33732 38556 39354 47787 50598 57834 59031 63716 75897 78708 95574 101196 111503 115668 118062 143361 151794 177093 191148 223006 227691 236124 286722 303588 334509 354186 430083 446012 455382 531279 573444 669018 708372 860166 910764 1003527 1062558 1290249 1338036 1593837 1720332 2007054 2125116 2580498 3010581 3187674 3870747 4014108 5160996 6021162 6375348 7741494 9031743 12042324 15482988 18063486 27095229 36126972 54190458 108380916