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105140322 = 2337278149
BaseRepresentation
bin1100100010001…
…01000001100010
321022211200102000
412101011001202
5203403442242
614233304430
72414451360
oct621050142
9238750360
10105140322
1154392531
122b265116
1318a23411
14dd6c630
15936ca4c
hex6445062

105140322 has 32 divisors (see below), whose sum is σ = 267024000. Its totient is φ = 30039984.

The previous prime is 105140317. The next prime is 105140327. The reversal of 105140322 is 223041501.

It is an interprime number because it is at equal distance from previous prime (105140317) and next prime (105140327).

It is a super-2 number, since 2×1051403222 = 22108974620527368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 105140295 and 105140304.

It is not an unprimeable number, because it can be changed into a prime (105140327) 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, 138697 + ... + 139452.

It is an arithmetic number, because the mean of its divisors is an integer number (8344500).

Almost surely, 2105140322 is an apocalyptic number.

105140322 is an abundant number, since it is smaller than the sum of its proper divisors (161883678).

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

105140322 is a wasteful number, since it uses less digits than its factorization.

105140322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278167 (or 278161 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 105140322 is about 10253.7954924018. The cubic root of 105140322 is about 471.9794620241.

Adding to 105140322 its reverse (223041501), we get a palindrome (328181823).

The spelling of 105140322 in words is "one hundred five million, one hundred forty thousand, three hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 378 278149 556298 834447 1668894 1947043 2503341 3894086 5006682 5841129 7510023 11682258 15020046 17523387 35046774 52570161 105140322