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103661024 = 2531831259
BaseRepresentation
bin1100010110110…
…11110111100000
321020001112012012
412023123313200
5203014123044
614141452052
72366050505
oct613336740
9236045165
10103661024
1153572075
122a871028
1318625cac
14daa54ac
15917959e
hex62dbde0

103661024 has 48 divisors (see below), whose sum is σ = 213373440. Its totient is φ = 49514880.

The previous prime is 103661011. The next prime is 103661101. The reversal of 103661024 is 420166301.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 81707 + ... + 82965.

It is an arithmetic number, because the mean of its divisors is an integer number (4445280).

Almost surely, 2103661024 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 103661024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106686720).

103661024 is an abundant number, since it is smaller than the sum of its proper divisors (109712416).

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

103661024 is a wasteful number, since it uses less digits than its factorization.

103661024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1383 (or 1375 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 103661024 is about 10181.4057968436. The cubic root of 103661024 is about 469.7554544939.

The spelling of 103661024 in words is "one hundred three million, six hundred sixty-one thousand, twenty-four".

Divisors: 1 2 4 8 16 31 32 62 83 124 166 248 332 496 664 992 1259 1328 2518 2573 2656 5036 5146 10072 10292 20144 20584 39029 40288 41168 78058 82336 104497 156116 208994 312232 417988 624464 835976 1248928 1671952 3239407 3343904 6478814 12957628 25915256 51830512 103661024