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105290357452 = 22743619141277
BaseRepresentation
bin110001000001111001…
…0110101101011001100
3101001202212101100100121
41202003302311223030
53211113312414302
6120211505434324
710415123162110
oct1420362655314
9331685340317
10105290357452
1140720730a45
12184a563b9a4
139c0c871177
14514b905740
152b138e7e37
hex1883cb5acc

105290357452 has 48 divisors (see below), whose sum is σ = 215827575040. Its totient is φ = 44003518272.

The previous prime is 105290357423. The next prime is 105290357453. The reversal of 105290357452 is 254753092501.

It is a happy number.

It is a super-2 number, since 2×1052903574522 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is a junction number, because it is equal to n+sod(n) for n = 105290357399 and 105290357408.

It is not an unprimeable number, because it can be changed into a prime (105290357453) 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, 674638 + ... + 815914.

Almost surely, 2105290357452 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105290357452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107913787520).

105290357452 is an abundant number, since it is smaller than the sum of its proper divisors (110537217588).

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

105290357452 is a wasteful number, since it uses less digits than its factorization.

105290357452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141950 (or 141948 counting only the distinct ones).

The product of its (nonzero) digits is 378000, while the sum is 43.

The spelling of 105290357452 in words is "one hundred five billion, two hundred ninety million, three hundred fifty-seven thousand, four hundred fifty-two".

Divisors: 1 2 4 7 14 28 43 86 172 301 602 619 1204 1238 2476 4333 8666 17332 26617 53234 106468 141277 186319 282554 372638 565108 745276 988939 1977878 3955756 6074911 12149822 24299644 42524377 85048754 87450463 170097508 174900926 349801852 612153241 1224306482 2448612964 3760369909 7520739818 15041479636 26322589363 52645178726 105290357452