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103908096 = 28345011
BaseRepresentation
bin1100011000110…
…00001100000000
321020112002010000
412030120030000
5203100024341
614151040000
72401130025
oct614301400
9236462100
10103908096
1153720766
122a970000
13186b15a6
14db2b54c
1591c78b6
hex6318300

103908096 has 90 divisors (see below), whose sum is σ = 309896972. Its totient is φ = 34629120.

The previous prime is 103908067. The next prime is 103908107. The reversal of 103908096 is 690809301.

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

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 103908096.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 18231 + ... + 23241.

Almost surely, 2103908096 is an apocalyptic number.

103908096 is a gapful number since it is divisible by the number (16) 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 103908096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154948486).

103908096 is an abundant number, since it is smaller than the sum of its proper divisors (205988876).

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

103908096 is an frugal number, since it uses more digits than its factorization.

103908096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5039 (or 5016 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 103908096 is about 10193.5320669530. The cubic root of 103908096 is about 470.1283729616.

The spelling of 103908096 in words is "one hundred three million, nine hundred eight thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 576 648 768 864 1152 1296 1728 2304 2592 3456 5011 5184 6912 10022 10368 15033 20044 20736 30066 40088 45099 60132 80176 90198 120264 135297 160352 180396 240528 270594 320704 360792 405891 481056 541188 641408 721584 811782 962112 1082376 1282816 1443168 1623564 1924224 2164752 2886336 3247128 3848448 4329504 5772672 6494256 8659008 11545344 12988512 17318016 25977024 34636032 51954048 103908096