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105522040098 = 23226921793069
BaseRepresentation
bin110001001000110011…
…0101000110100100010
3101002101000100001012100
41202101212220310202
53212102120240343
6120250503311230
710423635353526
oct1422146506442
9332330301170
10105522040098
114082a493602
121854b14b516
139c4886c2a7
1451705b3d86
152b28e0e9d3
hex18919a8d22

105522040098 has 24 divisors (see below), whose sum is σ = 229481027100. Its totient is φ = 35043253344.

The previous prime is 105522040079. The next prime is 105522040121. The reversal of 105522040098 is 890040225501.

105522040098 is a `hidden beast` number, since 1 + 0 + 5 + 522 + 0 + 40 + 0 + 98 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 105343737489 + 178302609 = 324567^2 + 13353^2 .

It is a super-2 number, since 2×1055220400982 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10891693 + ... + 10901376.

Almost surely, 2105522040098 is an apocalyptic number.

105522040098 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

105522040098 is an abundant number, since it is smaller than the sum of its proper divisors (123958987002).

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

105522040098 is a wasteful number, since it uses less digits than its factorization.

105522040098 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21793346 (or 21793343 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

Adding to 105522040098 its reverse (890040225501), we get a palindrome (995562265599).

The spelling of 105522040098 in words is "one hundred five billion, five hundred twenty-two million, forty thousand, ninety-eight".

Divisors: 1 2 3 6 9 18 269 538 807 1614 2421 4842 21793069 43586138 65379207 130758414 196137621 392275242 5862335561 11724671122 17587006683 35174013366 52761020049 105522040098