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105418454388 = 223131135980171
BaseRepresentation
bin110001000101101101…
…1011111010101110100
3101002002210102100022120
41202023123133111310
53211344111020023
6120232323155540
710421240035422
oct1421333372564
9332083370276
10105418454388
1140786a73085
1218520515bb0
139c30271680
14516092c112
152b1ec9c8e3
hex188b6df574

105418454388 has 48 divisors (see below), whose sum is σ = 267241926336. Its totient is φ = 32149393920.

The previous prime is 105418454387. The next prime is 105418454419. The reversal of 105418454388 is 883454814501.

It is a happy number.

It is a super-2 number, since 2×1054184543882 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105418454388.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105418454381) 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, 2972458 + ... + 3007713.

It is an arithmetic number, because the mean of its divisors is an integer number (5567540132).

Almost surely, 2105418454388 is an apocalyptic number.

It is an amenable number.

105418454388 is an abundant number, since it is smaller than the sum of its proper divisors (161823471948).

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

105418454388 is a wasteful number, since it uses less digits than its factorization.

105418454388 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5980304 (or 5980302 counting only the distinct ones).

The product of its (nonzero) digits is 2457600, while the sum is 51.

The spelling of 105418454388 in words is "one hundred five billion, four hundred eighteen million, four hundred fifty-four thousand, three hundred eighty-eight".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 113 156 226 339 452 678 1356 1469 2938 4407 5876 8814 17628 5980171 11960342 17940513 23920684 35881026 71762052 77742223 155484446 233226669 310968892 466453338 675759323 932906676 1351518646 2027277969 2703037292 4054555938 8109111876 8784871199 17569742398 26354613597 35139484796 52709227194 105418454388