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104106720 = 25351072027
BaseRepresentation
bin1100011010010…
…00101011100000
321020220011120110
412031020223200
5203122403340
614155211320
72402615064
oct615105340
9236804513
10104106720
1153846a13
122aa46b40
1318750b13
14db7daa4
159216680
hex6348ae0

104106720 has 96 divisors (see below), whose sum is σ = 331164288. Its totient is φ = 27488768.

The previous prime is 104106707. The next prime is 104106731. The reversal of 104106720 is 27601401.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50347 + ... + 52373.

It is an arithmetic number, because the mean of its divisors is an integer number (3449628).

Almost surely, 2104106720 is an apocalyptic number.

104106720 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 104106720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165582144).

104106720 is an abundant number, since it is smaller than the sum of its proper divisors (227057568).

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

104106720 is a wasteful number, since it uses less digits than its factorization.

104106720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2152 (or 2144 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 104106720 is about 10203.2700640530. The cubic root of 104106720 is about 470.4277379636.

The spelling of 104106720 in words is "one hundred four million, one hundred six thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 107 120 160 214 240 321 428 480 535 642 856 1070 1284 1605 1712 2027 2140 2568 3210 3424 4054 4280 5136 6081 6420 8108 8560 10135 10272 12162 12840 16216 17120 20270 24324 25680 30405 32432 40540 48648 51360 60810 64864 81080 97296 121620 162160 194592 216889 243240 324320 433778 486480 650667 867556 972960 1084445 1301334 1735112 2168890 2602668 3253335 3470224 4337780 5205336 6506670 6940448 8675560 10410672 13013340 17351120 20821344 26026680 34702240 52053360 104106720