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104095924321 = 192169812
BaseRepresentation
bin110000011110010011…
…0011100000001100001
3100221200121211212010111
41200330212130001201
53201142024034241
6115453200531321
710343410520554
oct1407446340141
9327617755114
10104095924321
1140168487724
1218211620b41
139a7c2787bc
14507702469b
152a93b0bc81
hex183c99c061

104095924321 has 9 divisors (see below), whose sum is σ = 109869481683. Its totient is φ = 98611383960.

The previous prime is 104095924301. The next prime is 104095924351. The reversal of 104095924321 is 123429590401.

The square root of 104095924321 is 322639.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 102119232721 + 1976691600 = 319561^2 + 44460^2 .

It is not a de Polignac number, because 104095924321 - 27 = 104095924193 is a prime.

It is a super-2 number, since 2×1040959243212 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (104095924301) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 6121651 + ... + 6138631.

It is an arithmetic number, because the mean of its divisors is an integer number (12207720187).

Almost surely, 2104095924321 is an apocalyptic number.

104095924321 is the 322639-th square number.

104095924321 is the 161320-th centered octagonal number.

It is an amenable number.

104095924321 is a deficient number, since it is larger than the sum of its proper divisors (5773557362).

104095924321 is an frugal number, since it uses more digits than its factorization.

104095924321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34000 (or 17000 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 40.

The spelling of 104095924321 in words is "one hundred four billion, ninety-five million, nine hundred twenty-four thousand, three hundred twenty-one".

Divisors: 1 19 361 16981 322639 6130141 288354361 5478732859 104095924321