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102100505 = 5132120829
BaseRepresentation
bin1100001010111…
…10111000011001
321010010020120012
412011132320121
5202114204010
614044211305
72346561053
oct605367031
9233106505
10102100505
11526a6691
122a239b35
13181ca900
14d7ba8d3
158e6c005
hex615ee19

102100505 has 12 divisors (see below), whose sum is σ = 132671340. Its totient is φ = 75396672.

The previous prime is 102100451. The next prime is 102100513. The reversal of 102100505 is 505001201.

It can be written as a sum of positive squares in 6 ways, for example, as 44142736 + 57957769 = 6644^2 + 7613^2 .

It is a de Polignac number, because none of the positive numbers 2k-102100505 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 102100505.

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, 59570 + ... + 61259.

It is an arithmetic number, because the mean of its divisors is an integer number (11055945).

Almost surely, 2102100505 is an apocalyptic number.

It is an amenable number.

102100505 is a deficient number, since it is larger than the sum of its proper divisors (30570835).

102100505 is a wasteful number, since it uses less digits than its factorization.

102100505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120860 (or 120847 counting only the distinct ones).

The product of its (nonzero) digits is 50, while the sum is 14.

The square root of 102100505 is about 10104.4794522034. The cubic root of 102100505 is about 467.3862840272.

Adding to 102100505 its reverse (505001201), we get a palindrome (607101706).

The spelling of 102100505 in words is "one hundred two million, one hundred thousand, five hundred five".

Divisors: 1 5 13 65 169 845 120829 604145 1570777 7853885 20420101 102100505