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108415104 = 273753761
BaseRepresentation
bin1100111011001…
…00100010000000
321120000001120020
412131210202000
5210223240404
614431413440
72454341010
oct635444200
9246001506
10108415104
1156219966
1230384280
13195cbb65
1410581c40
1597b7ed9
hex6764880

108415104 has 128 divisors (see below), whose sum is σ = 335767680. Its totient is φ = 30351360.

The previous prime is 108415093. The next prime is 108415129. The reversal of 108415104 is 401514801.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 142084 + ... + 142844.

It is an arithmetic number, because the mean of its divisors is an integer number (2623185).

Almost surely, 2108415104 is an apocalyptic number.

108415104 is a gapful number since it is divisible by the number (14) 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 108415104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167883840).

108415104 is an abundant number, since it is smaller than the sum of its proper divisors (227352576).

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

108415104 is an equidigital number, since it uses as much as digits as its factorization.

108415104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 838 (or 826 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 24.

The square root of 108415104 is about 10412.2573921316. The cubic root of 108415104 is about 476.8296619836.

Adding to 108415104 its reverse (401514801), we get a palindrome (509929905).

The spelling of 108415104 in words is "one hundred eight million, four hundred fifteen thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 53 56 64 84 96 106 112 128 159 168 192 212 224 318 336 371 384 424 448 636 672 742 761 848 896 1113 1272 1344 1484 1522 1696 2226 2283 2544 2688 2968 3044 3392 4452 4566 5088 5327 5936 6088 6784 8904 9132 10176 10654 11872 12176 15981 17808 18264 20352 21308 23744 24352 31962 35616 36528 40333 42616 47488 48704 63924 71232 73056 80666 85232 97408 120999 127848 142464 146112 161332 170464 241998 255696 282331 292224 322664 340928 483996 511392 564662 645328 681856 846993 967992 1022784 1129324 1290656 1693986 1935984 2045568 2258648 2581312 3387972 3871968 4517296 5162624 6775944 7743936 9034592 13551888 15487872 18069184 27103776 36138368 54207552 108415104