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102100080 = 2435425417
BaseRepresentation
bin1100001010111…
…10110001110000
321010010012222110
412011132301300
5202114200310
614044205320
72346556605
oct605366160
9233105873
10102100080
11526a6335
122a239840
13181ca664
14d7ba6ac
158e6bd20
hex615ec70

102100080 has 40 divisors (see below), whose sum is σ = 316510992. Its totient is φ = 27226624.

The previous prime is 102100073. The next prime is 102100093. The reversal of 102100080 is 80001201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 212469 + ... + 212948.

Almost surely, 2102100080 is an apocalyptic number.

102100080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102100080 is an abundant number, since it is smaller than the sum of its proper divisors (214410912).

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

102100080 is a wasteful number, since it uses less digits than its factorization.

102100080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425433 (or 425427 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 102100080 is about 10104.4584219047. The cubic root of 102100080 is about 467.3856355177.

Adding to 102100080 its reverse (80001201), we get a palindrome (182101281).

The spelling of 102100080 in words is "one hundred two million, one hundred thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 425417 850834 1276251 1701668 2127085 2552502 3403336 4254170 5105004 6381255 6806672 8508340 10210008 12762510 17016680 20420016 25525020 34033360 51050040 102100080