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103661856 = 253513331
BaseRepresentation
bin1100010110111…
…00000100100000
321020001120100000
412023130010200
5203014134411
614141500000
72366053104
oct613340440
9236046300
10103661856
1153572761
122a871600
131862649c
14daa5904
159179956
hex62dc120

103661856 has 72 divisors (see below), whose sum is σ = 305729424. Its totient is φ = 34551360.

The previous prime is 103661819. The next prime is 103661867. The reversal of 103661856 is 658166301.

It is a happy number.

103661856 is a `hidden beast` number, since 1 + 0 + 36 + 618 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 103661856.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1111 + ... + 14441.

It is an arithmetic number, because the mean of its divisors is an integer number (4246242).

Almost surely, 2103661856 is an apocalyptic number.

103661856 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 103661856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152864712).

103661856 is an abundant number, since it is smaller than the sum of its proper divisors (202067568).

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

103661856 is an equidigital number, since it uses as much as digits as its factorization.

103661856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13356 (or 13336 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 103661856 is about 10181.4466555593. The cubic root of 103661856 is about 469.7567112680.

The spelling of 103661856 in words is "one hundred three million, six hundred sixty-one thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 243 288 324 432 486 648 864 972 1296 1944 2592 3888 7776 13331 26662 39993 53324 79986 106648 119979 159972 213296 239958 319944 359937 426592 479916 639888 719874 959832 1079811 1279776 1439748 1919664 2159622 2879496 3239433 3839328 4319244 5758992 6478866 8638488 11517984 12957732 17276976 25915464 34553952 51830928 103661856