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105673820741 = 1928319652933
BaseRepresentation
bin110001001101010100…
…1101000101001000101
3101002202120221022002122
41202122221220221011
53212404444230431
6120313524415325
710430460440636
oct1423251505105
9332676838078
10105673820741
11408a8131655
1218591b47545
139c71142818
14518680388d
152b373e1a7b
hex189aa68a45

105673820741 has 8 divisors (see below), whose sum is σ = 111628665120. Its totient is φ = 99758282832.

The previous prime is 105673820723. The next prime is 105673820761. The reversal of 105673820741 is 147028376501.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-105673820741 is a prime.

It is a super-3 number, since 3×1056738207413 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 105673820692 and 105673820701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105673820761) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9821090 + ... + 9831843.

It is an arithmetic number, because the mean of its divisors is an integer number (13953583140).

Almost surely, 2105673820741 is an apocalyptic number.

It is an amenable number.

105673820741 is a deficient number, since it is larger than the sum of its proper divisors (5954844379).

105673820741 is a wasteful number, since it uses less digits than its factorization.

105673820741 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19653235.

The product of its (nonzero) digits is 282240, while the sum is 44.

The spelling of 105673820741 in words is "one hundred five billion, six hundred seventy-three million, eight hundred twenty thousand, seven hundred forty-one".

Divisors: 1 19 283 5377 19652933 373405727 5561780039 105673820741