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102135096 = 23327375477
BaseRepresentation
bin1100001011001…
…11010100111000
321010012000000100
412011213110320
5202121310341
614045035400
72350063650
oct605472470
9233160010
10102135096
115271a678
122a255b60
131821058b
14d7c9360
158e773b6
hex6167538

102135096 has 96 divisors (see below), whose sum is σ = 324735840. Its totient is φ = 28387584.

The previous prime is 102135091. The next prime is 102135097. The reversal of 102135096 is 690531201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102135091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15910 + ... + 21386.

It is an arithmetic number, because the mean of its divisors is an integer number (3382665).

Almost surely, 2102135096 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 102135096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162367920).

102135096 is an abundant number, since it is smaller than the sum of its proper divisors (222600744).

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

102135096 is a wasteful number, since it uses less digits than its factorization.

102135096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5533 (or 5526 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 102135096 is about 10106.1909738536. The cubic root of 102135096 is about 467.4390605651.

Adding to 102135096 its reverse (690531201), we get a palindrome (792666297).

The spelling of 102135096 in words is "one hundred two million, one hundred thirty-five thousand, ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 37 42 56 63 72 74 84 111 126 148 168 222 252 259 296 333 444 504 518 666 777 888 1036 1332 1554 2072 2331 2664 3108 4662 5477 6216 9324 10954 16431 18648 21908 32862 38339 43816 49293 65724 76678 98586 115017 131448 153356 197172 202649 230034 306712 345051 394344 405298 460068 607947 690102 810596 920136 1215894 1380204 1418543 1621192 1823841 2431788 2760408 2837086 3647682 4255629 4863576 5674172 7295364 8511258 11348344 12766887 14590728 17022516 25533774 34045032 51067548 102135096