Search a number
-
+
103152105 = 3257341163
BaseRepresentation
bin1100010010111…
…11100111101001
321012002200002100
412021133213221
5202401331410
614122524013
72361531000
oct611374751
9235080070
10103152105
1153254781
122a666609
13184a8464
14d9b1c37
1590c88c0
hex625f9e9

103152105 has 96 divisors (see below), whose sum is σ = 214905600. Its totient is φ = 45722880.

The previous prime is 103152047. The next prime is 103152109. The reversal of 103152105 is 501251301.

It is not a de Polignac number, because 103152105 - 29 = 103151593 is a prime.

It is not an unprimeable number, because it can be changed into a prime (103152109) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 632754 + ... + 632916.

It is an arithmetic number, because the mean of its divisors is an integer number (2238600).

Almost surely, 2103152105 is an apocalyptic number.

103152105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

103152105 is an abundant number, since it is smaller than the sum of its proper divisors (111753495).

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

103152105 is a wasteful number, since it uses less digits than its factorization.

103152105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

The square root of 103152105 is about 10156.3824760591. The cubic root of 103152105 is about 468.9854454531.

The spelling of 103152105 in words is "one hundred three million, one hundred fifty-two thousand, one hundred five".

Divisors: 1 3 5 7 9 15 21 35 41 45 49 63 105 123 147 163 205 245 287 315 343 369 441 489 615 735 815 861 1029 1141 1435 1467 1715 1845 2009 2205 2445 2583 3087 3423 4305 5145 5705 6027 6683 7335 7987 10045 10269 12915 14063 15435 17115 18081 20049 23961 30135 33415 39935 42189 46781 51345 55909 60147 70315 71883 90405 100245 119805 126567 140343 167727 210945 233905 279545 300735 327467 359415 421029 503181 632835 701715 838635 982401 1637335 2105145 2292269 2515905 2947203 4912005 6876807 11461345 14736015 20630421 34384035 103152105