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104135940625 = 5540183101
BaseRepresentation
bin110000011111011111…
…1000101101000010001
3100221210102010220011211
41200332333011220101
53201232300100000
6115501150340121
710344404614303
oct1407677055021
9327712126154
10104135940625
1140189029552
1218222aba641
139a876498a2
14507c47d973
152a973b37ba
hex183efc5a11

104135940625 has 24 divisors (see below), whose sum is σ = 130487757624. Its totient is φ = 83100000000.

The previous prime is 104135940589. The next prime is 104135940653. The reversal of 104135940625 is 526049531401.

It can be written as a sum of positive squares in 12 ways, for example, as 87173743504 + 16962197121 = 295252^2 + 130239^2 .

It is not a de Polignac number, because 104135940625 - 29 = 104135940113 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1211575 + ... + 1294675.

It is an arithmetic number, because the mean of its divisors is an integer number (5436989901).

Almost surely, 2104135940625 is an apocalyptic number.

It is an amenable number.

104135940625 is a deficient number, since it is larger than the sum of its proper divisors (26351816999).

104135940625 is an frugal number, since it uses more digits than its factorization.

104135940625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83527 (or 83507 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 40.

The spelling of 104135940625 in words is "one hundred four billion, one hundred thirty-five million, nine hundred forty thousand, six hundred twenty-five".

Divisors: 1 5 25 125 401 625 2005 3125 10025 50125 83101 250625 415505 1253125 2077525 10387625 33323501 51938125 166617505 259690625 833087525 4165437625 20827188125 104135940625