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102140505 = 32517315973
BaseRepresentation
bin1100001011010…
…00101001011001
321010012021102200
412011220221121
5202121444010
614045120413
72350115505
oct605505131
9233167380
10102140505
1152723745
122a259109
1318212b8c
14d7cb305
158e78cc0
hex6168a59

102140505 has 96 divisors (see below), whose sum is σ = 199480320. Its totient is φ = 48107520.

The previous prime is 102140503. The next prime is 102140509. The reversal of 102140505 is 505041201.

It is not a de Polignac number, because 102140505 - 21 = 102140503 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102140501) 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, 1399149 + ... + 1399221.

It is an arithmetic number, because the mean of its divisors is an integer number (2077920).

Almost surely, 2102140505 is an apocalyptic number.

102140505 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

102140505 is a deficient number, since it is larger than the sum of its proper divisors (97339815).

102140505 is a wasteful number, since it uses less digits than its factorization.

102140505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 102140505 is about 10106.4585785526. The cubic root of 102140505 is about 467.4473121630.

Adding to 102140505 its reverse (505041201), we get a palindrome (607181706).

The spelling of 102140505 in words is "one hundred two million, one hundred forty thousand, five hundred five".

Divisors: 1 3 5 9 15 17 31 45 51 59 73 85 93 153 155 177 219 255 279 295 365 465 527 531 657 765 885 1003 1095 1241 1395 1581 1829 2263 2635 2655 3009 3285 3723 4307 4743 5015 5487 6205 6789 7905 9027 9145 11169 11315 12921 15045 16461 18615 20367 21535 23715 27435 31093 33945 38471 38763 45135 55845 64605 73219 82305 93279 101835 115413 133517 155465 192355 193815 219657 279837 346239 366095 400551 466395 577065 658971 667585 1098285 1201653 1399185 1731195 2002755 2269789 3294855 6008265 6809367 11348945 20428101 34046835 102140505