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102103776 = 2532418647
BaseRepresentation
bin1100001010111…
…11101011100000
321010010102001100
412011133223200
5202114310101
614044234400
72346603435
oct605375340
9233112040
10102103776
11526a9095
122a23ba00
13181cc248
14d7bbb8c
158e6ce86
hex615fae0

102103776 has 72 divisors (see below), whose sum is σ = 297473904. Its totient is φ = 33200640.

The previous prime is 102103769. The next prime is 102103843. The reversal of 102103776 is 677301201.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7485 + ... + 16131.

It is an arithmetic number, because the mean of its divisors is an integer number (4131582).

Almost surely, 2102103776 is an apocalyptic number.

102103776 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102103776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148736952).

102103776 is an abundant number, since it is smaller than the sum of its proper divisors (195370128).

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

102103776 is a wasteful number, since it uses less digits than its factorization.

102103776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8704 (or 8693 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 27.

The square root of 102103776 is about 10104.6413098140. The cubic root of 102103776 is about 467.3912752014.

Adding to 102103776 its reverse (677301201), we get a palindrome (779404977).

The spelling of 102103776 in words is "one hundred two million, one hundred three thousand, seven hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 41 48 72 82 96 123 144 164 246 288 328 369 492 656 738 984 1312 1476 1968 2952 3936 5904 8647 11808 17294 25941 34588 51882 69176 77823 103764 138352 155646 207528 276704 311292 354527 415056 622584 709054 830112 1063581 1245168 1418108 2127162 2490336 2836216 3190743 4254324 5672432 6381486 8508648 11344864 12762972 17017296 25525944 34034592 51051888 102103776