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106314141 = 3172472609
BaseRepresentation
bin1100101011000…
…11100110011101
321102001022120210
412111203212131
5204204023031
614314403033
72430440523
oct625434635
9242038523
10106314141
115501442a
122b730479
131904479b
1410196313
159500746
hex656399d

106314141 has 24 divisors (see below), whose sum is σ = 153843840. Its totient is φ = 65262592.

The previous prime is 106314137. The next prime is 106314157. The reversal of 106314141 is 141413601.

It is not a de Polignac number, because 106314141 - 22 = 106314137 is a prime.

It is a super-2 number, since 2×1063141412 = 22605393153135762, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106314121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39445 + ... + 42053.

It is an arithmetic number, because the mean of its divisors is an integer number (6410160).

Almost surely, 2106314141 is an apocalyptic number.

It is an amenable number.

106314141 is a deficient number, since it is larger than the sum of its proper divisors (47529699).

106314141 is a wasteful number, since it uses less digits than its factorization.

106314141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2693 (or 2676 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 106314141 is about 10310.8748901342. The cubic root of 106314141 is about 473.7294072358.

Adding to 106314141 its reverse (141413601), we get a palindrome (247727742).

The spelling of 106314141 in words is "one hundred six million, three hundred fourteen thousand, one hundred forty-one".

Divisors: 1 3 17 47 51 141 289 799 867 2397 2609 7827 13583 40749 44353 122623 133059 367869 754001 2084591 2262003 6253773 35438047 106314141