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105400506520 = 23519971429741
BaseRepresentation
bin110001000101001011…
…1000001100010011000
3101002001112122111110201
41202022113001202120
53211330012202040
6120230442351544
710420631344321
oct1421227014230
9332045574421
10105400506520
1140777924631
12185164bb5b4
139c2962932a
14515c3b9448
152b1d404a9a
hex188a5c1898

105400506520 has 64 divisors (see below), whose sum is σ = 252206488800. Its totient is φ = 39529451520.

The previous prime is 105400506511. The next prime is 105400506527. The reversal of 105400506520 is 25605004501.

It is a super-2 number, since 2×1054005065202 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105400506527) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 641151 + ... + 788590.

Almost surely, 2105400506520 is an apocalyptic number.

105400506520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105400506520 is an abundant number, since it is smaller than the sum of its proper divisors (146805982280).

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

105400506520 is a wasteful number, since it uses less digits than its factorization.

105400506520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1429868 (or 1429864 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 28.

The spelling of 105400506520 in words is "one hundred five billion, four hundred million, five hundred six thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 97 152 190 194 380 388 485 760 776 970 1843 1940 3686 3880 7372 9215 14744 18430 36860 73720 1429741 2859482 5718964 7148705 11437928 14297410 27165079 28594820 54330158 57189640 108660316 135825395 138684877 217320632 271650790 277369754 543301580 554739508 693424385 1086603160 1109479016 1386848770 2635012663 2773697540 5270025326 5547395080 10540050652 13175063315 21080101304 26350126630 52700253260 105400506520