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103923135 = 3352632927
BaseRepresentation
bin1100011000110…
…11110110111111
321020112211202000
412030123312333
5203101020020
614151233343
72401221621
oct614336677
9236484660
10103923135
1153730a98
122a978853
13186b83a4
14db32c11
1591cc090
hex631bdbf

103923135 has 32 divisors (see below), whose sum is σ = 185518080. Its totient is φ = 55196064.

The previous prime is 103923133. The next prime is 103923137. The reversal of 103923135 is 531329301.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (103923133) and next prime (103923137).

It is not a de Polignac number, because 103923135 - 21 = 103923133 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 103923099 and 103923108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103923133) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34042 + ... + 36968.

It is an arithmetic number, because the mean of its divisors is an integer number (5797440).

Almost surely, 2103923135 is an apocalyptic number.

103923135 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

103923135 is a deficient number, since it is larger than the sum of its proper divisors (81594945).

103923135 is a wasteful number, since it uses less digits than its factorization.

103923135 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3204 (or 3198 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 27.

The square root of 103923135 is about 10194.2697139128. The cubic root of 103923135 is about 470.1510530022.

The spelling of 103923135 in words is "one hundred three million, nine hundred twenty-three thousand, one hundred thirty-five".

Divisors: 1 3 5 9 15 27 45 135 263 789 1315 2367 2927 3945 7101 8781 11835 14635 26343 35505 43905 79029 131715 395145 769801 2309403 3849005 6928209 11547015 20784627 34641045 103923135