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105581096140 = 22513647627637
BaseRepresentation
bin110001001010100011…
…1111010110011001100
3101002112010110101212011
41202111013322303030
53212212230034030
6120300413151004
710425253336552
oct1422507726314
9332463411764
10105581096140
114085a85a253
1218566a8b464
139c57b786b0
145178387bd2
152b2e1c7b2a
hex18951faccc

105581096140 has 48 divisors (see below), whose sum is σ = 239145141312. Its totient is φ = 38923474176.

The previous prime is 105581096123. The next prime is 105581096161. The reversal of 105581096140 is 41690185501.

It is a super-2 number, since 2×1055810961402 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105581096093 and 105581096102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 145599 + ... + 482038.

It is an arithmetic number, because the mean of its divisors is an integer number (4982190444).

Almost surely, 2105581096140 is an apocalyptic number.

105581096140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105581096140 is an abundant number, since it is smaller than the sum of its proper divisors (133564045172).

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

105581096140 is a wasteful number, since it uses less digits than its factorization.

105581096140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 628306 (or 628304 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 40.

The spelling of 105581096140 in words is "one hundred five billion, five hundred eighty-one million, ninety-six thousand, one hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 647 1294 2588 3235 6470 8411 12940 16822 33644 42055 84110 168220 627637 1255274 2510548 3138185 6276370 8159281 12552740 16318562 32637124 40796405 81592810 163185620 406081139 812162278 1624324556 2030405695 4060811390 5279054807 8121622780 10558109614 21116219228 26395274035 52790548070 105581096140