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102096918 = 232711193877
BaseRepresentation
bin1100001010111…
…10000000010110
321010010001122100
412011132000112
5202114100133
614044142530
72346544440
oct605360026
9233101570
10102096918
11526a3a20
122a237a46
13181c90a1
14d7b9490
158e6ae13
hex615e016

102096918 has 96 divisors (see below), whose sum is σ = 290384640. Its totient is φ = 25116480.

The previous prime is 102096901. The next prime is 102096947. The reversal of 102096918 is 819690201.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24396 + ... + 28272.

It is an arithmetic number, because the mean of its divisors is an integer number (3024840).

Almost surely, 2102096918 is an apocalyptic number.

102096918 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 102096918, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145192320).

102096918 is an abundant number, since it is smaller than the sum of its proper divisors (188287722).

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

102096918 is a wasteful number, since it uses less digits than its factorization.

102096918 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3922 (or 3919 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The square root of 102096918 is about 10104.3019551080. The cubic root of 102096918 is about 467.3808105505.

The spelling of 102096918 in words is "one hundred two million, ninety-six thousand, nine hundred eighteen".

Divisors: 1 2 3 6 7 9 11 14 18 19 21 22 33 38 42 57 63 66 77 99 114 126 133 154 171 198 209 231 266 342 399 418 462 627 693 798 1197 1254 1386 1463 1881 2394 2926 3762 3877 4389 7754 8778 11631 13167 23262 26334 27139 34893 42647 54278 69786 73663 81417 85294 127941 147326 162834 220989 244251 255882 298529 383823 441978 488502 515641 597058 662967 767646 810293 895587 1031282 1325934 1546923 1620586 1791174 2430879 2686761 3093846 4640769 4861758 5373522 5672051 7292637 9281538 11344102 14585274 17016153 34032306 51048459 102096918