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105472526140 = 22529181849183
BaseRepresentation
bin110001000111010100…
…1110000011100111100
3101002020120011110211001
41202032221300130330
53212001431314030
6120241534140044
710422464452132
oct1421651603474
9332216143731
10105472526140
1140804544a83
1218536651624
139c3b5241a7
145167ba5752
152b248cdcca
hex188ea7073c

105472526140 has 24 divisors (see below), whose sum is σ = 229129971840. Its totient is φ = 40734216768.

The previous prime is 105472526083. The next prime is 105472526149. The reversal of 105472526140 is 41625274501.

It is a super-3 number, since 3×1054725261403 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 105472526140.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105472526149) 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, 90924012 + ... + 90925171.

It is an arithmetic number, because the mean of its divisors is an integer number (9547082160).

Almost surely, 2105472526140 is an apocalyptic number.

105472526140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105472526140 is an abundant number, since it is smaller than the sum of its proper divisors (123657445700).

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

105472526140 is a wasteful number, since it uses less digits than its factorization.

105472526140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181849221 (or 181849219 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 37.

The spelling of 105472526140 in words is "one hundred five billion, four hundred seventy-two million, five hundred twenty-six thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 580 181849183 363698366 727396732 909245915 1818491830 3636983660 5273626307 10547252614 21094505228 26368131535 52736263070 105472526140