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105255934745 = 5131978219909
BaseRepresentation
bin110001000000110111…
…1100001101100011001
3101001200110121111021112
41202001233201230121
53211031004402440
6120204235550105
710414224453263
oct1420157415431
9331613544245
10105255934745
114070325a725
1218495bbb335
139c056ab0c0
145147104b33
152b10898965
hex1881be1b19

105255934745 has 16 divisors (see below), whose sum is σ = 136713543120. Its totient is φ = 77332894464.

The previous prime is 105255934691. The next prime is 105255934769. The reversal of 105255934745 is 547439552501.

It can be written as a sum of positive squares in 8 ways, for example, as 1625379856 + 103630554889 = 40316^2 + 321917^2 .

It is a cyclic number.

It is not a de Polignac number, because 105255934745 - 212 = 105255930649 is a prime.

It is a super-2 number, since 2×1052559347452 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105255934693 and 105255934702.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4097150 + ... + 4122759.

It is an arithmetic number, because the mean of its divisors is an integer number (8544596445).

Almost surely, 2105255934745 is an apocalyptic number.

It is an amenable number.

105255934745 is a deficient number, since it is larger than the sum of its proper divisors (31457608375).

105255934745 is a wasteful number, since it uses less digits than its factorization.

105255934745 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8220124.

The product of its (nonzero) digits is 3780000, while the sum is 50.

The spelling of 105255934745 in words is "one hundred five billion, two hundred fifty-five million, nine hundred thirty-four thousand, seven hundred forty-five".

Divisors: 1 5 13 65 197 985 2561 12805 8219909 41099545 106858817 534294085 1619322073 8096610365 21051186949 105255934745