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105454540422 = 232721147281823
BaseRepresentation
bin110001000110110010…
…1001001011010000110
3101002012022022201001100
41202031211021122012
53211432330243142
6120240052440530
710422155542500
oct1421545113206
9332168281040
10105454540422
11407a5380050
1218530619146
139c3789785a
145165642d70
152b23029b4c
hex188d949686

105454540422 has 288 divisors, whose sum is σ = 297535140864. Its totient is φ = 26680147200.

The previous prime is 105454540409. The next prime is 105454540459. The reversal of 105454540422 is 224045454501.

105454540422 is a `hidden beast` number, since 1 + 0 + 54 + 545 + 40 + 4 + 22 = 666.

It is a super-2 number, since 2×1054545404222 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 128133903 + ... + 128134725.

It is an arithmetic number, because the mean of its divisors is an integer number (1033108128).

Almost surely, 2105454540422 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105454540422, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148767570432).

105454540422 is an abundant number, since it is smaller than the sum of its proper divisors (192080600442).

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

105454540422 is a wasteful number, since it uses less digits than its factorization.

105454540422 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1184 (or 1174 counting only the distinct ones).

The product of its (nonzero) digits is 128000, while the sum is 36.

Adding to 105454540422 its reverse (224045454501), we get a palindrome (329499994923).

The spelling of 105454540422 in words is "one hundred five billion, four hundred fifty-four million, five hundred forty thousand, four hundred twenty-two".